Possibly see about a facility (4)
I believe the answer is:
ease
'facility' is the definition.
(facility can mean ease or absence of difficulty)
'possibly see about a' is the wordplay.
'possibly' indicates an anagram.
'about' means one lot of letters goes inside another.
'see' is an anagram of 'ese'.
'ese' going around 'a' is 'EASE'.
(Other definitions for ease that I've seen before include "Lessen intensity" , "Leisure, comfort" , "Poise or leisure" , "No trouble" , "Absence of effort" .)