Face a hare in hunting (4)
I believe the answer is:
puss
'face' is the definition.
(thesaurus)
I don't understand the remainder of the clue.
Can you help me to learn more?
(Other definitions for puss that I've seen before include "clock" , "It might be a tortoiseshell" , "Cat (abbr)" , "mug" , "For example, a Persian" .)