Bird Madagascan primate skinned (3)
I believe the answer is:
emu
'bird' is the definition.
(emu is a type of bird)
'madagascan primate skinned' is the wordplay.
'madagascan primate' becomes 'lemur' (I've seen this in another clue).
'skinned' means to look at the middle letters.
The middle letters of 'lemur' are 'EMU'.
(Other definitions for emu that I've seen before include "Australian non-flyer" , "Ostrich-like bird" , "Flightless bird of Australia, like ostrich" , "Australian running bird." , "Extinct bird" .)