Noun
(idiomatic, informal) A chance to find out something interesting about someone.
The paparazzi followed the famous actor everywhere - they all wanted a piece of him.
(idiomatic, informal) A chance to fight with someone.
You want a piece of me? Go ahead and take your best shot!
The time that I've taken I pray is not wasted Have I already tasted My piece of one sweet love. Sara Bareilles