Wild rhinoceros not greeting singers (8)
I believe the answer is:
crooners
'singers' is the definition.
(crooner is a kind of singer)
'wild rhinoceros not greeting' is the wordplay.
'wild' indicates an anagram.
'not' suggests deleting specific letters.
'greeting' becomes 'hi' (hi is a kind of greeting).
'rhinoceros' with 'hi' removed is 'rnoceros'.
'rnoceros' with letters rearranged gives 'CROONERS'.
(Other definitions for crooners that I've seen before include "They sing as Bing and Frank did" , "Coroners as pop singers?" .)