Originally Posted by Moonfire
Looking at the default Task Manager and the Running Services parts of the phone, I don't see TW running, so I don't think LP uses it. If you still have any icons/widgets on your TW homescreens, I would try getting rid of them. If you want to completely get rid of TW, saps has a thread on doing so here
Edit: Ha, how did I know you'd beat me to it? : P
I'll give it a try. While using either LP or ADW, this is what I show under Applications > Manage Applications, then filter by Running. I was incorrect in stating it was listed under Running Services.