Spiny, based on the "power" classes that I've taken, I say yes. Go ahead and take one the day after a weightlifting workout.
The classes usually feature light weights and high reps. In ours, we spend five minutes per muscle group, lifting to different tempos but never resting. It builds endurance but isn't going to stress the muscles you worked out the day before the same way that a set of traditional weights would.
The first year I was lifting, I did weights during the week and took a power class on Sunday just to change things up.