I should preface this by saying that I know very little about batteries and consumer electronics, but a little about watches.
The problem of how to keep a mostly or completely analog watch wound throughout the day was solved a very long time ago. I wonder how feasible it would be to use something like the rotor weight from an automatic mechanical[1] or automatic quartz[2] watch as a trickle charger.
Would that just be too little added energy for the added complexity?
[1] http://en.wikipedia.org/wiki/Automatic_watch [2] http://en.wikipedia.org/wiki/Automatic_quartz