Football Association gets new supporter (3)
I believe the answer is:
fan
'supporter' is the definition.
(I know that supporter can be written as fan)
'football association gets new' is the wordplay.
'football association' becomes 'fa' (abbreviation).
'gets' is a charade indicator (letters next to each other).
'new' becomes 'n' (common abbreviation eg NT for New Testament).
'fa'+'n'='FAN'
(Other definitions for fan that I've seen before include "Manually wielded cooling device" , "Cool - enthusiast" , "Ardent admirer" , "Devotee; ventilator" , "Zealot" .)