A few summers ago when by uncle and cousin came to visit us from New Jersey, my uncle would sit in our chair by our computer and shake something that make a small clinking noise. Upon closer inspection, it was his watch. He said that it didn't have a battery, and that shaking it kept it going. At the time, I didn't understand what he meant, but I remembered this this past week as we explored electromagnetic induction; his watch must have had a magnet and a solenoid in it. The shaking sound must have been a magnet, moving back and forth into and out of the solenoid. The magnet's magnetic field would have turned the solenoid into a magnet, alternating the poles to repel then attract the magnet as it moved in and out respectively. The force of the moving magnetic field on the electrons in the metal solenoid would generate an alternating current, building up charge that would eventually go to power the battery. I'm not sure how the charge was stored, as capacitors only seem to be able to discharge charge (:-) )in large, fast, quantities that would probably do to the battery something similar to what happens to galvanometers when too much current runs through them (not a good thing).
However, I guess that the generated current is not that much, as my uncle still had to sit and conscienciously shake the watch; the natural motion of his arm wasn't enough, I guess. Great idea, but I wonder if it was more trouble that it was worth. (My watch has a regular battery :-) )