I'm curious how many folks, if any, use bungees to center their tiller - ie, if they need both hands to crank on DH or hoist/drop sip, etc. I've used them when I sailed dinghy's and they worked great. Also, if you don't use them, why not? They don't seem to be very common on cats for some reason.
Jerry
Firstly, on a one man boat, if you fall off ie trap line snaps, you should always have hold of a sheet. Keep hold and the boat will capsize.
I think the bungy sugestion has quiet a lot of merit.