Quiet place for entertainment (4)
I believe the answer is:
play
'entertainment' is the definition.
(thesaurus)
'quiet place' is the wordplay.
'quiet' becomes 'p' (music symbol for 'piano').
'place' becomes 'lay' (laying is a kind of placing).
'p'+'lay'='PLAY'
'for' is the link.
(Other definitions for play that I've seen before include "Theatre performance" , "Uncle's premises" , "Theatre production" , "Slack - performance" , "Drama; engage in games" .)