Why are the hands of a clock called hands? To me, this makes little sense; they do not resemble hands in any way, and if anything body-part related, they should be arms. So why are they called hands?
They do resemble pointing hands; especially the classic style of hour hand. Yes, they're thinner than human hands, but they point:
Etymonline says this usage of hand is over 400 years old:
Other than that, I don't think anyone can explain just why clockmakers chose hand instead of arm, or even finger. The point is that they point, like a hand.