Animal possibly giving a groan (6)
I believe the answer is:
angora
'animal' is the definition.
The answer is an example.
'possibly giving a groan' is the wordplay.
'possibly' indicates an anagram.
'giving' says to put letters next to each other.
'a'+'groan' is 'agroan'.
'agroan' anagrammed gives 'ANGORA'.
(Other definitions for angora that I've seen before include "Woolly" , "Soft yarn from goat" , "Wool from long-haired goats" , "Cloth from the soft hair of a goat" , "Yarn or fabric from hair of goats or rabbits" .)