I picked up a stone knife and headed a few spaces south, where I met a Giant Rat. We fought back and forth for some dozens or hundreds of attacks, hitting, missing and parrying, but seemed unable to make any progress. I think we were healing faster than we could damage each other. In fact, I started the combat (and the game, actually) as Wounded, and before I got bored and wandered away, I had actually healed to Healthy, and the Giant Rat was only Sad and Tired.
Seems a little strange to have this sort of stalemate in a combat situation.