Delicate shot racket struck at the finish (4)
I believe the answer is:
dink
'delicate shot' is the definition.
(I've seen this before)
'racket struck at the finish' is the wordplay.
'racket' becomes 'din' (both can mean a loud noise or disturbance).
'at the finish' suggests the final letters.
The last letter of 'struck' is 'k'.
'din'+'k'='DINK'
(Other definitions for dink that I've seen before include "Delicate shot" , "Drop shot" .)