School of note, possibly (4)
I believe the answer is:
eton
'school' is the definition.
(famous UK public school)
'note possibly' is the wordplay.
'possibly' indicates anagramming the letters.
'note' with letters rearranged gives 'ETON'.
'of' is the link.
(Other definitions for eton that I've seen before include "British public school of note" , "Leading English public school" , "Collar - crop - jacket - school" , "Note sent up to English public school" , "Posh college" .)