How do kinetic watches work exactly?
More importantly, precisely how much energy can such a mechanism produce 
Kinetic watches work by using the energy from your normal arm motions during the day. When your arm accelerates, it causes a tiny generator to spin, which charges a capacitor. In theory, such a mechanism could produce any amount of energy, depending on how big you build it. Of course, you’re limited by the strength of the arm it’s on.