Left-wing group cut term for animal (3,6)
I believe the answer is:
red setter
'animal' is the definition.
The answer is an example.
'left-wing group cut term' is the wordplay.
'left wing' becomes 'red' (I've seen this in other clues).
'group' becomes 'set' (set is a kind of group).
'cut' means to remove the last letter.
'term' with its final letter taken away is 'ter'.
'red'+'set'+'ter'='RED SETTER'
'for' is the link.
(Other definitions for red setter that I've seen before include "Barker" , "Shepherds are delighted to see this" , "Breed of dog" , "My best friend" , "one identifying the game" .)