First-year student's increasingly amorous (7)
I believe the answer is:
fresher
I believe this clue is a double definition.
'first-year student's' is the first definition.
(I've seen this before)
'increasingly amorous' is the second definition.
(Other definitions for fresher that I've seen before include "First-year undergraduate" , "First-year university student" , "First-year college student" , "More familiar" , "new boy at college" .)