Tooth finally extracted, which is cool (3)
I believe the answer is:
fan
'is cool' is the definition.
(fan can mean to cool down)
I cannot understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for fan that I've seen before include "Manual cooling device - for admirer?" , "Devotee; ventilator" , "Keen follower; cooler" , "Manually wielded cooling device" , "Cooling device for an ardent supporter" .)