Hat worn in town? (5)

I believe the answer is:

derby

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This could be a double definition.

'hat' is the first definition.
(I know that derby is a type of hat)

'worn in town?' is the second definition.
'derby' can be an answer for 'town?'. I'm not certain of the 'worn in' bit.

Can you help me to learn more?

(Other definitions for derby that I've seen before include "20 horse 12" , "... and after 8 [STATE = KENTUCKY] , meeting" , "Bowler hat (US)" , "Epsom horse race" , "Local game" .)

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