Playwright not parking in Bury (5)
I believe the answer is:
inter
'bury' is the definition.
(to inter is to put into the ground)
'playwright not parking' is the wordplay.
'playwright' becomes 'pinter' (Harold Pinter).
'not' is a deletion indicator.
'parking' becomes 'p' (abbreviation on road signs).
'pinter' with 'p' taken away is 'INTER'.
'in' is the link.
(Other definitions for inter that I've seen before include "Place in ground" , "Place into grave, tomb" , "Set deep" , "Bury a body - in the middle?" , "football team abroad" .)