"Clock" is the answer to the riddle, "What has hands but no arms and a face but no eyes?" A clock is also the answer to, "Without fingers, I point, without arms, I strike, without feet, I run. What am I?"
Some short riddles about clocks include, "What has hands but cannot clap?" and "What has a face but doesn't frown?" Longer clock riddles are: "I have two hands on my face; you check on me to keep your pace. What am I?" and "I have a face that does not frown and hands that do not wave. I do not walk but move around. What am I?"