To delete your Grok chat history on grok.com/app and X, go to the chat settings...
https://www.slideserve.com/aaron_ward92/how-do-i-delete-grok-chat-history-on-grok-com
To delete your Grok chat history on grok.com/app and X, go to the chat settings and select “Delete History.” Remember, deleting chats won’t remove any files or Imagine media—they need to be deleted separately from their folders