The only component delivered with CA Common Services that is exposed to this vulnerability is the CA Common Communications Interface (CAICCI).
Technical document ID #: TEC1856481 describes the remediation steps to secure this service from POODLE Vulnerability (CVE-2014-3566). This document is published and now available on support.ca.com.
http://ecm.ca.com/KB/Pages/Authoring/Create-KB-Article.aspx?kbid=TEC1856481