Noble award for piece of anatomy (7)
I believe the answer is:
earlobe
'piece of anatomy' is the definition.
'earlobe' can be an answer for 'piece' (earlobe is a kind of piece). I'm not sure about the 'of anatomy' bit.
'noble award' is the wordplay.
'noble' becomes 'earl' (earl is a kind of noble).
'award' becomes 'OBE' (Order of the British Empire).
'earl'+'obe'='EARLOBE'
'for' acts as a link.
Can you help me to learn more?
(Other definitions for earlobe that I've seen before include "Often-pierced flap" , "It depends on the listener" , "low part of organ" , "Fleshy part of hearing organ" , "something of a listener" .)