Green area is quiet place of refuge (4)
I believe the answer is:
park
'green area' is the definition.
(a park is a green space)
'quiet place of refuge' is the wordplay.
'quiet' becomes 'p' (music symbol for 'piano', ie soft or quiet).
'place of refuge' becomes 'ark' (I've seen this in another clue).
'p'+'ark'='PARK'
'is' is the link.
(Other definitions for park that I've seen before include "Leave one's car (in a green space?)" , "Leave car - recreational area" , "Position a car" , "Place somewhere temporarily" , "Green or Hyde" .)