Draw me on the wing, working on overcoming others by persistence (7,4,4)

I believe the answer is:

wearing them down

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'overcoming others by persistence' is the definition.
I know nothing about this answer so I cannot judge whether this works.

'draw me on the wing working' is the wordplay.
'working' indicates an anagram.
'draw'+'me'+'on'+'the'+'wing'='drawmeonthewing'
'drawmeonthewing' with letters rearranged gives 'WEARING THEM DOWN'.

'on' is the link.

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

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