Chap holding eastern headgear (5)
I believe the answer is:
beret
'headgear' is the definition.
(I know that beret is a type of cap)
'chap holding eastern' is the wordplay.
I cannot really understand how this works, but
'chap' could be 'ber' and 'ber' is found within the answer.
'eastern' could be 'e' and 'e' is found in the answer.
A single letter 't' remains which might be clued in a way I don't see.
This may be the basis of the clue (or it may be nonsense).
Can you help me to learn more?
(Other definitions for beret that I've seen before include "Part of kit" , "Round flattish cap" , "Soft flat hat" , "Flattish felt cap" , "Soft brimless cap" .)