I'm w/ Super on this one. I live in L.A. now, but have some rural Wisconsin real estate in the family and we cut some wood. As soon as I saw this thread yesterday I though of those great Stihl chain saws, even city slickers know a little about wood/tree cutting where I'm from. Think of the wood chipper scene in "Fargo".
Requests like this neighbor's are so ill-informed that I would have no problem at all shutting him down. If he asks twice, simply deny him again. Repeat as necessary, and don't feel like a jerk because you're not one. It is like he is asking to borrow your gun, (if you have one).