Answer:
My first keeps time, my second spends time, my whole tells time.
What can run but canβt walk?
Some try to hide, some try to cheat. But time will show, we always will meet. Try as you might, to guess my name. I promise you'll know, when you I do claim.
Runs smoother than any rhyme, loves to fall but cannot climb.
My head bobs lazily in the sun. You think I'm cute. For my face is yellow my hair is white and my body is green.
I start with T end with T and within me is T.