A leading style of headgear or woman's top (6)
I believe the answer is:
halter
'woman's top' is the definition.
(I've seen this in another clue)
I can't explain the remainder of the clue.
Can you help me to learn more?
(Other definitions for halter that I've seen before include "Tether" , "device for leading Arabs" , "one that pulls up?" , "Rope for leading a horse" , "When there's harness" .)