Yes. You can export your audience.
You just need to go to the Audience page, choose the specific room you would like to see by clicking All Rooms on the top, and click on the export button.
Export files include all of the datas that you can see when a specific room is selected, plus your audience's Twitter & Instagram usernames can be found in the export file.
*You can not export your audience when All Rooms is selected. You can only export the audience of a specific room.