Android phones run modified java "like" VM called called Dalvik. I looked into it also and it probably isn't impossible but doesn't seem that feasible.You would certainly need a rooted phone.
On a side note, how do you like the GS III, have you tried it out yet? I still have a Droid X from two years ago.. I've kept it because it is rooted and has everything I need but it is starting to show its age. I'm between its the GS III and the Razr Maxx.
Edit: Sorry I see note you were asking about the mobile TWS, I thought you were talking about desktop version. Mobile should work since most earlier apps are backwards compatible with newer Android versions but there is no guarantee with IBs software!