Chases from that little old county (5)
I believe the answer is:
hunts
'chases' is the definition.
(hunting is a kind of chasing)
I don't understand how the remainder of the clue works.
Can you help me to learn more?
(Other definitions for hunts that I've seen before include "Chases and kills (prey)" , "country pursuits" , "Traditional county" , "Pursues wild animals for sport" .)