Finish circulating scores in the poolroom (4)
I believe the answer is:
pots
'scores in the poolroom' is the definition.
(in the game of pool, you score by potting balls)
'finish circulating' is the wordplay.
'finish' becomes 'stop' ('stop' can be a synonym of 'finish').
'circulating' is a reversal indicator.
'stop' in reverse letter order is 'POTS'.
(Other definitions for pots that I've seen before include "Cooking utensils" , "earthenware here" , "Ceramics; pockets (ball)" , "Preserves" , "Gets (a ball) into pocket" .)