I wrote a prototype of an HTML5-based client that also happens to work on a phone:
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It uses HTML 5 websockets for fast two-way communication and renders with a dos437 true type font, so you get all that stuff like copy/paste for free. It is a bit glitchy still, but functional.
I think this app would work best on the same box as the TWGS server, especially when combined with server-side scripts, which I plan to add next. Think of it like having a twxproxy running on the TWGS server + a light-weight HTML client. The terminal as is doesn't work well for a touch-based mobile device, but I think with some contextual input options like the aformentioned
mouse overlays, my goal of catching up on a game from my phone or laying on the couch with my tablet would be within reach.