Some area’s education facility (4)
I believe the answer is:
ease
'facility' is the definition.
(thesaurus)
'some area's education' is the wordplay.
'some' says the answer is hidden in the clue (some of the parts of the word are used).
'EASE' can be found hidden inside 'areas education'.
(Other definitions for ease that I've seen before include "Freedom from worry" , "Lack of worry or agitation" , "Comfort; facility" , "Absence of difficulty" , "Affluence" .)