Short version: after installing mosh-server on the remote machine, you run "mosh remotehost" instead of "ssh remotehost". It uses SSH to establish an encrypted UDP "connection" to the server. If your IP changes, Blink instantly re-establishes a connection. If you pause your iPad for a week and come back to it, Blink instantly re-establishes a connection.

What this means in practice is that I can start doing something at home. Oops, time to leave: I take my iPad on with me on the bus to the office, pair it with my phone, and continue working from the same session. Get to work and switch to Wi-Fi, and I keep using that same session. It's freaking magical.