Peel a pear, possibly (4)
I believe the answer is:
pare
'peel' is the definition.
(I know that peel can be written as pare)
'a pear possibly' is the wordplay.
'possibly' is an anagram indicator.
'pear' with letters rearranged gives 'PARE'.
(Other definitions for pare that I've seen before include "Trim by cutting" , "Trim off in layers" , "Remove the skin from" , "Shave, say, pencil" , "Cut down gradually" .)