Enthusiast getting cooler (3)
I believe the answer is:
fan
I believe this is a double definition.
'enthusiast' is the first definition.
(I've seen this before)
'cooler' is the second definition.
(thesaurus)
'getting' is the link.
(Other definitions for fan that I've seen before include "Spanish women wave it to cool themselves" , "Cooling device for an ardent supporter" , "Lady Windermere's - -" , "Cool - enthusiast" , "Devotee; ventilator" .)