Student with broken heart in agitated state (6)
I believe the answer is:
lather
'agitated state' is the definition.
(I've seen this before)
'student with broken heart' is the wordplay.
'student' becomes 'l' (as in L-plates for learner drivers).
'with' is a charade indicator (letters next to each other).
'broken' indicates an anagram.
'heart' anagrammed gives 'ather'.
'l'+'ather'='LATHER'
'in' is the link.
(Other definitions for lather that I've seen before include "Foam - tizzy (informal)" , "Soapsuds" , "Panic" , "agitation" , "Foam made from soap" .)