I realize this question is old, but there are developments on the horizon which may be promising:
As the LiveCode Community Manager, I can confirm that right now there is no interface between LiveCode and Ubuntu Mobile.
However, many of us in the LiveCode community are also Ubuntu fans, and will be forming a team to explore options for using LiveCode's upcoming Themes architecture on top of the ARM Linux build LiveCode already supports to be able to deploy apps made in LiveCode to Ubuntu Mobile.
For more info on LiveCode's Themes project:
And to see the current state of LiveCode under Linux on ARM devices, see the Raspberry Pi build at the bottom of this page:
It'll likely be a few months until we can begin work on a Qt interface for Ubuntu Mobile, but if you'd like to lend a hand feel free to drop me an email and I'll keep you post as things move forward: email@example.com