I have an SSH session to a remote linux server from my computer, then connect a new SSH session from my BlackBerry, and run 'tmux attach' in it.
The tmux session on the computer resizes to the size of the BlackBerry terminal, and both PuTTY and BBSSH show the same content, and both can interact with it.
Disconnect the BB, and the computer terminal resizes back to what it was.