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    <link:label id="lab_codi_AciMember_19B34802C4D24340B67817C18808549E_terseLabel_en-US" xlink:label="lab_codi_AciMember_19B34802C4D24340B67817C18808549E" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">ACI</link:label>
    <link:label id="lab_codi_AciMember_19B34802C4D24340B67817C18808549E_label_en-US" xlink:label="lab_codi_AciMember_19B34802C4D24340B67817C18808549E" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Aci [Member]</link:label>
    <link:label id="lab_codi_AciMember_19B34802C4D24340B67817C18808549E_documentation_en-US" xlink:label="lab_codi_AciMember_19B34802C4D24340B67817C18808549E" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">ACI.</link:label>
    <link:loc xlink:href="codi-20190930.xsd#codi_AciMember" xlink:label="loc_codi_AciMember_19B34802C4D24340B67817C18808549E" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_codi_AciMember_19B34802C4D24340B67817C18808549E" xlink:to="lab_codi_AciMember_19B34802C4D24340B67817C18808549E" xlink:type="arc" />
    <link:label id="lab_codi_ArnoldMember_3949ED5F1C4BC1E6933217C18808984E_terseLabel_en-US" xlink:label="lab_codi_ArnoldMember_3949ED5F1C4BC1E6933217C18808984E" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Arnold</link:label>
    <link:label id="lab_codi_ArnoldMember_3949ED5F1C4BC1E6933217C18808984E_label_en-US" xlink:label="lab_codi_ArnoldMember_3949ED5F1C4BC1E6933217C18808984E" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Arnold [Member]</link:label>
    <link:label id="lab_codi_ArnoldMember_3949ED5F1C4BC1E6933217C18808984E_documentation_en-US" xlink:label="lab_codi_ArnoldMember_3949ED5F1C4BC1E6933217C18808984E" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Arnold.</link:label>
    <link:loc xlink:href="codi-20190930.xsd#codi_ArnoldMember" xlink:label="loc_codi_ArnoldMember_3949ED5F1C4BC1E6933217C18808984E" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_codi_ArnoldMember_3949ED5F1C4BC1E6933217C18808984E" xlink:to="lab_codi_ArnoldMember_3949ED5F1C4BC1E6933217C18808984E" xlink:type="arc" />
    <link:label id="lab_codi_VelocityOutdoorMember_6E0921474F5597ED764217C18808DE5F_terseLabel_en-US" xlink:label="lab_codi_VelocityOutdoorMember_6E0921474F5597ED764217C18808DE5F" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Velocity Outdoor</link:label>
    <link:label id="lab_codi_VelocityOutdoorMember_6E0921474F5597ED764217C18808DE5F_label_en-US" xlink:label="lab_codi_VelocityOutdoorMember_6E0921474F5597ED764217C18808DE5F" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Velocity Outdoor [Member]</link:label>
    <link:label id="lab_codi_VelocityOutdoorMember_6E0921474F5597ED764217C18808DE5F_documentation_en-US" xlink:label="lab_codi_VelocityOutdoorMember_6E0921474F5597ED764217C18808DE5F" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Velocity Outdoor [Member]</link:label>
    <link:loc xlink:href="codi-20190930.xsd#codi_VelocityOutdoorMember" xlink:label="loc_codi_VelocityOutdoorMember_6E0921474F5597ED764217C18808DE5F" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_codi_VelocityOutdoorMember_6E0921474F5597ED764217C18808DE5F" xlink:to="lab_codi_VelocityOutdoorMember_6E0921474F5597ED764217C18808DE5F" xlink:type="arc" />
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    <link:label id="lab_codi_SternoProductsMember_0500C937CE7E5E93E21817C188090C31_documentation_en-US" xlink:label="lab_codi_SternoProductsMember_0500C937CE7E5E93E21817C188090C31" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Sterno Products [Member]</link:label>
    <link:loc xlink:href="codi-20190930.xsd#codi_SternoProductsMember" xlink:label="loc_codi_SternoProductsMember_0500C937CE7E5E93E21817C188090C31" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_codi_SternoProductsMember_0500C937CE7E5E93E21817C188090C31" xlink:to="lab_codi_SternoProductsMember_0500C937CE7E5E93E21817C188090C31" xlink:type="arc" />
    <link:label id="lab_codi_FlexmagMember_8745CD8B4EB45F809D6A17C18809211C_terseLabel_en-US" xlink:label="lab_codi_FlexmagMember_8745CD8B4EB45F809D6A17C18809211C" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Flexmag</link:label>
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    <link:label id="lab_codi_FlexmagMember_8745CD8B4EB45F809D6A17C18809211C_documentation_en-US" xlink:label="lab_codi_FlexmagMember_8745CD8B4EB45F809D6A17C18809211C" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">FlexMag.</link:label>
    <link:loc xlink:href="codi-20190930.xsd#codi_FlexmagMember" xlink:label="loc_codi_FlexmagMember_8745CD8B4EB45F809D6A17C18809211C" xlink:type="locator" />
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    <link:label id="lab_us-gaap_GoodwillLineItems_557542A394F36CFF618A17C18809FC1A_terseLabel_en-US" xlink:label="lab_us-gaap_GoodwillLineItems_557542A394F36CFF618A17C18809FC1A" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Goodwill [Line Items]</link:label>
    <link:label id="lab_us-gaap_GoodwillLineItems_557542A394F36CFF618A17C18809FC1A_label_en-US" xlink:label="lab_us-gaap_GoodwillLineItems_557542A394F36CFF618A17C18809FC1A" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Goodwill [Line Items]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_GoodwillLineItems" xlink:label="loc_us-gaap_GoodwillLineItems_557542A394F36CFF618A17C18809FC1A" xlink:type="locator" />
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    <link:label id="lab_us-gaap_GoodwillGross_2F5D1B27270C3DA7C9C917C18809A8AC_terseLabel_en-US" xlink:label="lab_us-gaap_GoodwillGross_2F5D1B27270C3DA7C9C917C18809A8AC" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Goodwill - gross carrying amount</link:label>
    <link:label id="lab_us-gaap_GoodwillGross_2F5D1B27270C3DA7C9C917C18809A8AC_label_en-US" xlink:label="lab_us-gaap_GoodwillGross_2F5D1B27270C3DA7C9C917C18809A8AC" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Goodwill, Gross</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_GoodwillGross" xlink:label="loc_us-gaap_GoodwillGross_2F5D1B27270C3DA7C9C917C18809A8AC" xlink:type="locator" />
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    <link:label id="lab_us-gaap_GoodwillImpairedAccumulatedImpairmentLoss_5E409D03DD493028C4CF17C18809508F_label_en-US" xlink:label="lab_us-gaap_GoodwillImpairedAccumulatedImpairmentLoss_5E409D03DD493028C4CF17C18809508F" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Goodwill, Impaired, Accumulated Impairment Loss</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_GoodwillImpairedAccumulatedImpairmentLoss" xlink:label="loc_us-gaap_GoodwillImpairedAccumulatedImpairmentLoss_5E409D03DD493028C4CF17C18809508F" xlink:type="locator" />
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    <link:label id="lab_us-gaap_Goodwill_B88CC55C56658691A47017C1880A8957_totalLabel_en-US" xlink:label="lab_us-gaap_Goodwill_B88CC55C56658691A47017C1880A8957" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Goodwill - net carrying amount</link:label>
    <link:label id="lab_us-gaap_Goodwill_B88CC55C56658691A47017C1880A8957_label_en-US" xlink:label="lab_us-gaap_Goodwill_B88CC55C56658691A47017C1880A8957" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Goodwill</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_Goodwill" xlink:label="loc_us-gaap_Goodwill_B88CC55C56658691A47017C1880A8957" xlink:type="locator" />
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    <link:label id="lab_us-gaap_GoodwillRollForward_9EFCBDDB69A1AA6CA9F817C1880AF3B4_terseLabel_en-US" xlink:label="lab_us-gaap_GoodwillRollForward_9EFCBDDB69A1AA6CA9F817C1880AF3B4" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Goodwill [Roll Forward]</link:label>
    <link:label id="lab_us-gaap_GoodwillRollForward_9EFCBDDB69A1AA6CA9F817C1880AF3B4_label_en-US" xlink:label="lab_us-gaap_GoodwillRollForward_9EFCBDDB69A1AA6CA9F817C1880AF3B4" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Goodwill [Roll Forward]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_GoodwillRollForward" xlink:label="loc_us-gaap_GoodwillRollForward_9EFCBDDB69A1AA6CA9F817C1880AF3B4" xlink:type="locator" />
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    <link:label id="lab_us-gaap_Goodwill_D6BB1C086BCFA003323E17C1880AAFB7_periodEndLabel_en-US" xlink:label="lab_us-gaap_Goodwill_D6BB1C086BCFA003323E17C1880AAFB7" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xml:lang="en-US">Balance as of January 1, 2017</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_Goodwill" xlink:label="loc_us-gaap_Goodwill_D6BB1C086BCFA003323E17C1880AAFB7" xlink:type="locator" />
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    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_Goodwill_35E3811BCA73724CC8CA17C1880AEC3B" xlink:to="lab_us-gaap_Goodwill_35E3811BCA73724CC8CA17C1880AEC3B" xlink:type="arc" />
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    <link:label id="lab_codi_A2014TermLoanMember_809A78CA13D985BDB3E0FF403F4D72C3_terseLabel_en-US" xlink:label="lab_codi_A2014TermLoanMember_809A78CA13D985BDB3E0FF403F4D72C3" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">2014 Term Loan</link:label>
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    <link:label id="lab_codi_TermLoanMember_20C9A4E946E88DB74956FF403F4DC5E7_terseLabel_en-US" xlink:label="lab_codi_TermLoanMember_20C9A4E946E88DB74956FF403F4DC5E7" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Term Loan</link:label>
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    <link:loc xlink:href="codi-20190930.xsd#codi_TermLoanMember" xlink:label="loc_codi_TermLoanMember_20C9A4E946E88DB74956FF403F4DC5E7" xlink:type="locator" />
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    <link:label id="lab_codi_FoxCreditFacilityMember_36CB9621A3A427504FF3FF403F5CE3C2_terseLabel_en-US" xlink:label="lab_codi_FoxCreditFacilityMember_36CB9621A3A427504FF3FF403F5CE3C2" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">FOX Credit Facility</link:label>
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets" xlink:label="loc_us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets_9D67CC653AB80561D96517C6A6175743" xlink:type="locator" />
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