That's a good point, especially since anyone working with saw dust knows that the finer particles absorb the skin oils and render the hands exceedingly dry.
It would be very messy to wet the hands, sawdust forms clumps when wet. Anyone doing this would not keep up the practice for long, it'd be a pain in the tush!
Basically the saw blade would have to bite into the skin. Instant conductivity, and at the end of the day, you've a wound you need a bandaid for, not a prosthetic.