I put bungees on my Hobie Wave, but I use them to hold the tiller to one side or the other when the boat is parked, so I don't have to hold the tiller over manually. I never thought about using them to center the tiller while sailing, but now that I think about it, that's a great idea for going downwind, because then I can get farther forward and keep the mast rotated. Shhhh, don't tell the other Wave sailors.
....which is all great untill an unexpected gust hits. Because of the really crappy tiller angle you can't bear away and **splash** - 'cmon... we have all done it