Crossword Genius

Convince that you'll give notice (5,2,5)

Ross

I believe the answer is:

leave no doubt

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

'convince that you'll' is the definition.
I don't know anything about this answer so I cannot tell whether it can be defined by this definition.

'give notice' is the wordplay.
I cannot quite understand how this works, but
'give' could be 'leave' (leaving is a kind of giving) and 'leave' is found in the answer.
The remaining letters 'nodoubt' is a valid word which might be clued in a way I don't understand.
This explanation may well be incorrect...

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