Check at Start|Help, search for Keyboard shortcuts, and see if you can find a keyboard combination that will back you out?

One that might work is Alt-Tab which should step you through the open windows, possibly to the point where the logout button will show.

Alt-Esc steps through open windows in reverse order.

Ctl-F4 should close the active window in most programs that allow multiple windows open at the same time.

Theoretically, F6 should cycle you through all the "buttons" in an open Window, including any that are covered up, so if you poke repeatedly it should eventually highlight and show the logout button, in most programs if you haven't reset a bunch of options.

Or maybe I just don't get what the problem is since I haven't been to chat.

John