Correct only after bit of publicity (6)
I believe the answer is:
adjust
'correct' is the definition.
(I know that correct can be written as adjust)
'only after bit of publicity' is the wordplay.
I cannot really see how this works, but
'only' could be 'just' (synonyms) and 'just' is found in the answer.
'publicity' could be 'ad' (short for advert) and 'ad' is found in the answer.
This accounts for all the letters.
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" .)