Strange thing, note, to possess such a garment (9)
I believe the answer is:
nightgown
'a garment' is the definition.
(I know that nightgown is a type of lingerie)
'strange thing note to possess' is the wordplay.
'strange' indicates an anagram.
'note' becomes 'g' (musical note).
'to possess' becomes 'own' ('own' can be a synonym of 'possess').
'thing' is an anagram of 'night'.
'night'+'g'+'own'='NIGHTGOWN'
'such' is the link.
(Other definitions for nightgown that I've seen before include "Sleeping garment" , "Sleep attire" , "Garment worn in bed" , "Bedtime attire" , "Dress for bed?" .)