Answer:
Never resting, never still. Moving silently from hill to hill. It does not walk, run or trot. All is cool where it is not. What is it?
I reach for the sky, but clutch to the ground. Sometimes I leave, but I am always around. What am I?
I belong to you but others use me more often than you do. What am I?
I have a name that's not mine and no one cares about me in their prime. People cry at my sight and lie by me all day and night.
I always have to work with something in my eye.
The warmer I am the fresher I am.