Change of direction about British Airways headgear (6)
I believe the answer is:
turban
'headgear' is the definition.
(I know that turban is a type of headgear)
'change of direction about british airways' is the wordplay.
'change of direction' becomes 'turn' (turn is a kind of change of direction).
'about' indicates putting letters inside.
'british airways' becomes 'BA'.
'turn' going around 'ba' is 'TURBAN'.
(Other definitions for turban that I've seen before include "Cloth worn as headdress by Sikh" , "Sash wound as head-covering" , "Indian headdress" , "Eastern head-dress" , "Cloth wound around the head" .)