Not feeling skin of adult marsupial (6)
I believe the answer is:
numbat
'marsupial' is the definition.
(I know that numbat is a type of dasyurid)
'not feeling skin of adult' is the wordplay.
'not feeling' becomes 'numb' (I've seen this in another clue).
'skin of' suggests removing the centre.
'adult' with its middle removed is 'at'.
'numb'+'at'='NUMBAT'
(Other definitions for numbat that I've seen before include "insectivore" , "Australian native" , "Termite-eating marsupial" , "one bright-eyed and bushy-tailed?" .)