Putting on this jumper, male player might relax here (5,4)
I believe the answer is:
green room
'player might relax here' is the definition.
(place where actors or players might relax)
'putting on this jumper male' is the wordplay.
'putting on this' becomes 'green' (place for playing golf or 'putting').
'jumper' becomes 'roo' (I've seen this before).
'male' becomes 'm' (common abbreviation).
'green'+'roo'+'m'='GREEN-ROOM'
(Other definitions for green room that I've seen before include "Part of theatre" , "Where actors can relax in the theatre" , "theatre? Only a bit of it" , "backstage area" , "Here's the rest of the cast" .)