If you're referring to chat history, you can browse history for a room by going to hipchat.com/rooms (or hipchat.com/people for 1-1 chats), selecting the room/persons you're interested in, and viewing history from the specific room or user page.
If you're looking for an exported archive, you need to be an admin of your HipChat account and then you can go to hipchat.com/admin/export to initiate an export of room history. 1-1 history export requires that you contact our support team to initiate it.
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