that'd be interesting, but I have yet to see any.
all current LED standoff setups I've seen are based on a 12v power supply, which would be hard to obtain via a ~2v watch-battery, and I'm sure a string of them to generate 12v would become as bulky as a larger battery anyways.
is there a place you could hide a battery-pack? you could convert existing wired-setups available through gyford/displays2go to accept a 12v AAx4 battery pack, they may already have the same connector.