Recognition of pupil a Tory arranged (10)
I believe the answer is:
popularity
'recognition' is the definition.
(thesaurus)
'pupil a tory arranged' is the wordplay.
'arranged' indicates an anagram.
'pupil'+'a'+'tory'='pupilatory'
'pupilatory' anagrammed gives 'POPULARITY'.
'of' is the link.
(Other definitions for popularity that I've seen before include "Being widely admired" , "Widespread admiration" .)