Correct only after bit of publicity (6)
I believe the answer is:
adjust
'correct' is the definition.
(adjusting is a kind of correcting)
'only after bit of publicity' is the wordplay.
I cannot quite see how this works, but
'only' could be 'just' (synonyms) and 'just' is found within the answer.
'publicity' could be 'ad' (short for advert) and 'ad' is found within the answer.
No letters remain.
This may be the basis of the clue (or it may be nonsense).
Can you help me to learn more?
(Other definitions for adjust that I've seen before include "suit" , "Arrange, put into proper position" , "Change slightly to fit" , "Adapt (to new situation)" , "Make slight corrections to" .)