Godfather playing spoons with rhythm, initially (7)
I believe the answer is:
sponsor
'godfather' is the definition.
(thesaurus)
'playing spoons with rhythm initially' is the wordplay.
'playing' indicates an anagram.
'with' means one lot of letters go next to another.
'initially' says to take the initial letters.
The first letter of 'rhythm' is 'r'.
'spoons' with letters rearranged gives 'sponso'.
'sponso'+'r'='SPONSOR'
(Other definitions for sponsor that I've seen before include "Supporter or champion" , "Financial backer" , "Help fund a sporting or artistic event" , "One financially supporting event" , "Godparent; financial supporter" .)