Crossword Genius

One of the original Five Nations gets nothing from refusal of French to gad around with advantage (8)

Ross

I believe the answer is:

onondaga

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

'one of the original five nations gets nothing' is the definition.
I know nothing about this answer so I cannot tell whether this works.

'refusal of french to gad around with advantage' is the wordplay.
I cannot really see how this works, but
'refusal' could be 'no' and 'no' is present in the answer.
an anagram of 'gad' is 'dag' which is present in the answer.
'around' could be 'o' (I've seen this in other clues) and 'o' is found in the answer.
The remaining letters 'na' is a valid word which might be clued in a way I don't understand.
This explanation may well be incorrect...

'from' is the link.

Can you help me to learn more?

(Another definition for onondaga that I've seen is " Native American".)

I've seen this clue in the Irish Times.
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