Possible republican slogan in the finance industry (7)
I believe the answer is:
banking
'the finance industry' is the definition.
(the banking industry)
'possible republican slogan in' is the wordplay.
I cannot really see how this works, but
'in' is within the answer.
This explanation may well be incorrect...
(Other definitions for banking that I've seen before include "Relying" , "(Of aircraft) turning" , "financial activity" , "Engaging in the business of depositing and lending money" , "Depositing and withdrawing money" .)