Do you have a front swaybar? Many Cavaliers did not come with a sway bar from the factory. If you do have a sway bar, then your swaybar mounts are dry. I have greased my mounts TWICE and my car only has 65,000 miles on it. This is a noise that you will only hear if you go over bumps or dips in the road. Very common problem for Cavaliers.
Regards, ARG