Lecture promoted outside college (5)
I believe the answer is:
scold
'lecture' is the definition.
(thesaurus)
'promoted outside college' is the wordplay.
'promoted' becomes 'sold'.
'outside' indicates putting letters inside.
'college' becomes 'c'.
'sold' going around 'c' is 'SCOLD'.
(Other definitions for scold that I've seen before include "Rate" , "Castigate" , "Chide or reprimand" , "Censure, berate" , "Upbraid" .)