Run to a fee (6)
I believe the answer is:
charge
I believe this clue is a double definition.
'run' is the first definition.
'to a fee' is the second definition.
(I've seen this in another clue)
(Other definitions for charge that I've seen before include "Offensive - fee" , "protection" , "Be aggressive" , "Fix as a price or accuse" , "Price for a service" .)