Swimmer's socialist hairstyle (9)

I believe the answer is:

redmullet

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'swimmer's' is the definition.
I know nothing about this answer so I cannot tell whether this works.

'socialist hairstyle' is the wordplay.
'socialist' becomes 'red' (red can informally mean a socialist).
'hairstyle' becomes 'mullet' (I've seen this before).
'red'+'mullet'='REDMULLET'

Can you help me to learn more?

I've seen this clue in The Daily Express.

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