Institution likely to make a hit (4)
I believe the answer is:
club
'a hit' is the definition.
(club can mean to hit with a club)
I can't explain the rest of the clue.
Can you help me to learn more?
(Other definitions for club that I've seen before include "In which one could be expecting" , "Golfing equipment" , "Golf implement" , "Driver possibly" , "Stout stick, card suit and association" .)