I hunt every year, about 4 hunts per year, with a guy that has a full Milwaukee cordless set up and he has one of their medium size chainsaws. That thing is amazing and the battery seems to last forever. They aren't cheap, but well worth the money. We love it because it's MUCH quieter than a chainsaw, but also because you don't have to carry around all the fuel and oil, which always seem to leak. Two batteries has always been enough for all the firewood we need, and to clear the trails of any fallen deadwood.
If you're only needing to cut enough wood for firewood, or to clear a fallen small to medium tree, I highly recommend one. If you have a generator, there are plenty of electric options out there as well.