Playwright from Dawlish: A. Wesker (4)
I believe the answer is:
shaw
'playwright' is the definition.
(Shaw is an example)
'from dawlish a wesker' is the wordplay.
'from' indicates a hidden word.
'SHAW' is hidden in the letters of 'dawlish a wesker'.
(Other definitions for shaw that I've seen before include "Major Barbara playwright" , "Irish author" , "Thicket; playwright" , "writer of plays and critical commentaries" , "making an appearance in Craiglockhart?" .)