Caught in rug, share out fleece (9)

I believe the answer is:

surcharge

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'fleece' is the definition.
('surcharge' can be a synonym of 'fleece')

I don't understand how the remainder of the clue works.

Can you help me to learn more?

(Other definitions for surcharge that I've seen before include "Tax" , "Extra payment" , "Addition to usual payment" , "Additional item on bill" , "addition to bill" .)

I've seen this clue in The Telegraph.

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