The right leader, albeit left-handed (8)

I believe the answer is:

southpaw

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'the right leader' is the definition.
(I've seen this before)

I don't understand the remainder of the clue.

(Other definitions for southpaw that I've seen before include "Man with gloves on" , "A left-handed boxer who leads with the right" , "Boxer leading with right hand" , "Right leader" , "One using left hand" .)

I've seen this clue in the Evening Standard.

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