A nut for the horse (3)
I believe the answer is:
cob
I believe this is a double definition.
'a nut' is the first definition.
(cob is a kind of nut)
'the horse' is the second definition.
(cob is a kind of horse)
'for' acts as a link.
(Other definitions for cob that I've seen before include "mount" , "Hazelnut" , "Swan of Jacobean origin" , "A loaf; a nut; a horse" , "Round loaf of bread" .)