Greatest artist has a beginning (5)
I believe the answer is:
start
'a beginning' is the definition.
(start is a kind of beginning)
'greatest artist has' is the wordplay.
'has' indicates a hidden word.
'START' is hidden in the letters of 'greatest artist'.
(Other definitions for start that I've seen before include "begin an argument?" , "Set in motion" , "open" , "Begin with sudden movement of surprise" , "Begin - opening move" .)