If there was a unique tool.. say a hand saw.. that could be purchased at a vendor it would be useful for woodcutting, but useless as a combat weapon. In this example, anyone who might use a saw would probably have mediocre strengh and no access to power attack, so, woodcutting with a hand saw would be a tedious and more dangerous because you'd be 'unarmed'
The saw of course, could break etc.and need not be too cheap.
Just a thought..