This is why a rocket stove is good—you can burn whatever you pick up off the ground. Less cutting and splitting.
Also, KOBALT makes a great battery operated chainsaw. Uses a lithium ion battery that charges in 60 minutes.
Umm, how're gonna charge it during SHTF? You need to have some solar panels, batteries, etc. Also, you better hope that the "S" isn't an EMP, or the electronics part of that solar set up (and, probably, the chainsaw) will become junk.