Drunken nuisance displays boredom (5)
I believe the answer is:
ennui
'boredom' is the definition.
(I know that boredom can be written as ennui)
'drunken nuisance displays' is the wordplay.
'displays' says the answer is hidden in the clue (part of the clue displays the answer).
'ENNUI' is hidden in the letters of 'drunken nuisance'.
(Other definitions for ennui that I've seen before include "tiredness" , "Weariness with life" , "World-weariness" , "Boredom in France" , "having nothing to do" .)