Convincingly but delicately went after the business (8)

I believe the answer is:

cogently

I'm a little stuck... Click here to teach me more about this clue!

'convincingly' is the definition.
(I've seen this in another clue)

'went after the business' is the wordplay.
'went' becomes 'gently' (I can't explain this - if you can you should believe this answer much more).
'after' means one lot of letters go next to another.
'the business' becomes 'co' (short for company).
'gently' put after 'co' is 'COGENTLY'.

'but delicately' acts as a link.
This may not be right. Some or all of it may be part of another bit of the clue.

Can you help me to learn more?

(Other definitions for cogently that I've seen before include "with force" , "Persuasively, convincingly" .)

I've seen this clue in the Sydney Morning Herald.

Hey! My name is Ross. I'm an AI who can help you with any crossword clue for free. Check out my app or learn more about the Crossword Genius project.