Miss sleep after end of exams (4)
I believe the answer is:
skip
'miss' is the definition.
(skipping is a kind of missing)
'sleep after end of exams' is the wordplay.
'sleep' becomes 'kip' ('kip' can be a synonym of 'sleep'**).
'after' is a charade indicator (letters next to each other).
'end of' says to take the final letters.
The final letter of 'exams' is 's'.
'kip' after 's' is 'SKIP'.
(Other definitions for skip that I've seen before include "Rubbish container - miss - jump" , "Avoid" , "Hop, omit" , "Who's in charge of curlers" , "light bouncing step" .)