Answer:
I hop around and deliver eggs at Easter.
The more you take of me the more you leave behind.
I lose my head in the morning and regain back it at night.
My first is in riddle but not in little. My second is in think but not in brink. My third is in thyme but not in time. My fourth is in mother but not in brother. My last is in time but no t in climb.
You use a knife to slice my head but you weep beside me when I am dead
What is always coming but never arrives?