Horse, perhaps, making Nora batty! (4)
I believe the answer is:
roan
'horse perhaps' is the definition.
(roan can mean a multi-coloured animal eg a horse)
'nora batty' is the wordplay.
'batty' indicates anagramming the letters.
'nora' with letters rearranged gives 'ROAN'.
'making' acts as a link.
(Other definitions for roan that I've seen before include "Of horse, with coat sprinkled with white or grey hairs" , "Red-coloured horse" , "(Horse) white-sprinkled coat" , "Bay spotted" , "nag" .)