Supporter ’andled kit the wrong way (6)
I believe the answer is:
girdle
'supporter' is the definition.
(thesaurus)
''andled kit the wrong way' is the wordplay.
''andled' becomes ''eld' ('held' - I've seen this in another clue - said with the 'H' dropped, a cockney accent, like 'handled' was).
'kit' becomes 'rig' (I've seen this in other clues).
'the wrong way' shows that the letters should be reversed in order.
'eld'+'rig'='eldrig'
'eldrig' reversed gives 'GIRDLE'.
(Other definitions for girdle that I've seen before include "CLOTHING" , "historic zone" , "Waistbelt" , "Female undergarment" , "Waist cord; corset" .)