Rock star has cut of beef served with fruit (5,5)
I believe the answer is:
chuck berry
'rock star' is the definition.
'cut of beef served with fruit' is the wordplay.
'cut of beef' becomes 'chuck' (chuck is a kind of cut of beef).
'served with' means one lot of letters go next to another.
'fruit' becomes 'berry' (I've seen this before).
'chuck'+'berry'='CHUCK BERRY'
'has' is the link.
(Other definitions for chuck berry that I've seen before include "Singer" , "Rock 'n' roller's" .)