You can update Mailchimp Tags in several different areas of Chimpegration Classic.
1) Export - Tags can be added. Click here for the Chimpegration Classic User Guide
2) Remove Subscribers - Tags may be removed in Chimpegration Professional under Remove Subscribers. Please see this section of the User Guide for more information.
3) Segments - In Chimpegration Classic, you can opt to work with a Mailchimp segment rather than the entire Audience in both Import as well as Constituent Synchronization. These can be limited to specific tags in Mailchimp. Please review Mailchimp documentation regarding segment creation.