Neurontin had the side effet on me of making me eat everything in sight. I switched to Topomax to help that.
Next time you see your doc, ask about a switch or doing an emg to see if there is a problem with the nerves. Also, you might have carpal tunnel syndrome, like I do. Sometimes my right hand is buzzing, but by placing palm up on my right leg, it goes away in about a minute. Go figure, it just works in my case.
Sprytle