Crossword Genius

Headgear that’s even better (4,3)

Ross

I believe the answer is:

flat cap

'headgear' is the definition.
(flat cap is a kind of headgear)

'even better' is the wordplay.
'even' becomes 'flat' ('flat' can be similar in meaning to 'even').
'better' becomes 'cap' (I've seen this before**).
'flat'+'cap'='FLAT-CAP'

'that's' is the link.

(Other definitions for flat cap that I've seen before include "Headgear (of the working class?)" , "working-class symbol" , "Style of headgear" , "> lid" , "Type of hat" .)

I've seen this clue in The Times.
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