Animal bearing a label (4)
I believe the answer is:
stag
'animal' is the definition.
(stag is a kind of animal)
'bearing a label' is the wordplay.
'bearing' becomes 's'.
'a label' becomes 'tag' (tag is a kind of label**).
's'+'tag'='STAG'
(Other definitions for stag that I've seen before include "Antlered animal" , "one may get in a rut" , "Horned animal" , "Hart" , "party given by Uncle Sam" .)