Removing the Conversation Tab is being reviewed by the feature team.
For deleting chat messages, please following progress here: https://microsoftteams.uservoice.com/forums/555103/suggestions/33535006.
An error occurred while saving the commentPeter Pen commented
Hi MS Team,
You have to add options like "Clear chat history" or "Delete whole conversation tab" because without it you are violating user privacy of removing their own data on their own computer and profile. This is really a problem with EU countries where GDPR regulatinos are in place. You are violating user right to remove his personal data, moreover on his own PC.