User blog comment:DaNASCAT/Introducing New Moderator Opportunities For Community Administration/@comment-4234382-20160119003554/@comment-1251315-20160123223754

User groups like this are default across Wikia, but each wiki can request changes to the default groups so that it suits them. If you don't want Discussions Moderator to have the chatmod user right, simply fire a request to Wikia at Special:Contact/general and request that the chat moderator user right be removed from the discussions moderator group on the wiki in question.