Recently, we encountered a rather persistent user in a chat room, repeatedly attempting to engage with other users in the chat by editing their chat profile description and repeatedly leaving and re-entering the room in order to draw attention to themselves with the entry animation. Some users do indeed follow on to them, speaking to them in the main chat while they "respond" by editing their chat profile descriptions.
In my opinion, I don't like it when others do this, because it not only makes the chat one-sided and thus difficult to follow for other users, but it also violates the spirit of a suspension: they should not be able to get around the spirit of it by "chatting" via their chat bio with users who are willing to engage with them. In some cases, it can even smother existing topics and chats.
I'm aware that there exists a stalled feature request to increase the force of a chat suspension, to prevent suspended users from being able to join rooms or edit their chat profile descriptions, and it could take a while for that to be implemented since resources seem to have been diverted away from chat development.
That said, given the current state of the chat moderation tools, what can moderators do against such users? The only actions one can take directly against the user are to clear out their chat profile description or delete their chat profile, but the user can quickly recreate those.
After some consideration, I think the correct solution might be to not directly go against the user, but against the other users who attempt to engage with the suspended user. A moderator could ask others to mark the user as "ignored" (which would also disable the entry animation for that user, for that user) and not to engage with them, and kick chat users who do attempt to engage with the suspended user. The hope there would be that the suspended user would realize that their efforts are futile and move on. But what if said user seems to have the time and energy to keep doing what they're doing? I only believe that to be a short-term solution, as it requires moderators to persistently be on patrol, and the entry animation cannot be disabled globally (only by each user).