A type of fan club (6)
I believe the answer is:
rotary
'club' is the definition.
(Rotary Club is an example)
I can't explain the remainder of the clue.
Can you help me to learn more?
(Other definitions for rotary that I've seen before include "Turning on an axis" , "Circular motion" , "Revolving (like a club?)" , "Revolving round an axis" , "Sort of club" .)