Flier's here naked, peering around outside (9)
I believe the answer is:
peregrine
'flier's' is the definition.
(peregrine is a kind of birdanimal)
'here naked peering around outside' is the wordplay.
'naked' says to take the centre (outside letters removed so centre is unclothed).
'around' indicates anagramming the letters.
'outside' means one lot of letters goes inside another (some letters go outside others).
The centre of 'here' is 'er'.
'peering' with letters rearranged gives 'pegrine'.
'er' put into 'pegrine' is 'PEREGRINE'.
(Other definitions for peregrine that I've seen before include "Large falcon" , "bird" , "Powerful falcon" , "Kind of falcon" .)