Graduate meeting church composer (4)
I believe the answer is:
bach
'composer' is the definition.
(Johann Sebastian Bach)
'graduate meeting church' is the wordplay.
'graduate' becomes 'ba' (someone with a Bachelor of Arts degree).
'meeting' is a charade indicator (letters next to each other).
'church' becomes 'ch' (common abbreviation).
'ba'+'ch'='BACH'
(Other definitions for bach that I've seen before include "JS --, baroque composer" , "dear to the Welsh" , "Johann Sebastian . . . . , great composer (4)" , "musical great" , "Welsh term of endearment" .)