Classic American bowler (5)
I believe the answer is:
derby
This clue is a double definition.
'classic' is the first definition.
(Derby City Classic pool tournament)
'american bowler' is the second definition.
(I've seen this before)
(Other definitions for derby that I've seen before include "Local contest" , "... and after 8 [STATE = KENTUCKY] , meeting" , "Midlands city" , "China" , "confrontation between neighbours" .)