Boxers - people of little importance (12)

I believe the answer is:

lightweights

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This could be a double definition.

'boxers' is the first definition.
(I know this)

'people of little importance' is the second definition.
'lightweights' can be an answer for 'people' (lightweight is a kind of person). I'm not sure about the 'of little importance' bit.

Can you help me to learn more?

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