Hat taken off if too expensive (6)

I believe the answer is:

bowler

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'hat' is the definition.
(bowler is a kind of hat)

I don't understand the remainder of the clue.

(Other definitions for bowler that I've seen before include "Posh hat or cricket player" , "Caddick; hat" , "Hat that is round and hard with a narrow brim" , "Hard hat for cricketer?" , "One who can deliver" .)

I've seen this clue in the Evening Standard.

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