Queen follows cheeky new student (7)
I believe the answer is:
fresher
'new student' is the definition.
(I've seen this before)
'queen follows cheeky' is the wordplay.
'queen' becomes 'ER' (Queen Elizabeth).
'follows' says to put letters next to each other.
'cheeky' becomes 'fresh' (I've seen this before).
'er' put after 'fresh' is 'FRESHER'.
(Other definitions for fresher that I've seen before include "More disrespectful" , "New student - more impudent" , "First-year university student" , "First-year undergraduate" , "First-year college student" .)