Hat and fluffy scarf given to veteran at centre (6)
I believe the answer is:
boater
'hat' is the definition.
(boater is a kind of hat)
'fluffy scarf given to veteran at centre' is the wordplay.
'fluffy scarf' becomes 'boa' (I've seen this before).
'given to' means one lot of letters go next to another.
'at centre' indicates the central letters.
The central letters of 'veteran' are 'ter'.
'boa'+'ter'='BOATER'
'and' is the link.
(Other definitions for boater that I've seen before include "Sailor's straw hat" , "(Of exercise) improving oxygen intake" , "Hat style" , "Flat-topped straw hat" , "sailor, perhaps" .)