Playwright admits art involvement (9)
I believe the answer is:
dramatist
'playwright' is the definition.
(I know that playwright can be written as dramatist)
'admits art involvement' is the wordplay.
'involvement' indicates an anagram.
'admits'+'art'='admitsart'
'admitsart' is an anagram of 'DRAMATIST'.
(Other definitions for dramatist that I've seen before include "Wordsmith" , "One who writes plays" , "Shakespeare, say" , "Playwright" , "Coward, for example" .)