Unusally fat men rigged cooler decoration (6,6)

I believe the answer is:

fridge magnet

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'cooler decoration' is the definition.
I don't know anything about this answer so I can't judge whether it can be defined by this definition.

'unusally fat men rigged' is the wordplay.
'fat men rigged' can be anagrammed to 'FRIDGE MAGNET'.
Though, I am not sure how the anagram is indicated.

Can you help me to learn more?

I've seen this clue in The Irish Times.

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