A teacher is wrong (5)
I believe the answer is:
amiss
'is wrong' is the definition.
('amiss' can be a synonym of 'wrong')
'a teacher' is the wordplay.
'teacher' becomes 'miss' (I've seen this before**).
'a'+'miss'='AMISS'
(Other definitions for amiss that I've seen before include "Fallacious" , "Mistaken" , "Haywire" , "astray" , "Unsuitable" .)