This is like a regular round of TTT, but everyone's health is on a random time limit ranging from 2 minutes to 5 minutes. Traitors have their time limit drain twice as fast but they can gain time by killing innocents. Innocents can gain time by killing traitors.
I think having the traitors know how much time left each innocent has just by looking at them would make it more interesting. It would be like having the shinigami eyes. Some innocents would have less time but the ones with more time would be more valuable for the traitors to kill.