Famous rapper, short name, close to retirement (7)
I believe the answer is:
eminent
'famous' is the definition.
(eminent can mean famous or influential)
'rapper short name close to retirement' is the wordplay.
I cannot really understand how this works, but
'name' could be 'min' and 'min' is found in the answer.
This may be the basis of the clue (or it may be nonsense).
Can you help me to learn more?
(Other definitions for eminent that I've seen before include "Outstanding or distinguished (7)" , "Notable, outstanding" , "Respected; outstanding" , "Distinguished, prominent" , "Lofty; famous" .)