They can be put on in the manner of a sari (4)
I believe the answer is:
airs
'they can be put on in the manner' is the definition.
The definition suggests an adverb but the answer is not.
'of a sari' is the wordplay.
'of' indicates anagramming the letters (the answer comes from or 'of' the letters).
'sari' is an anagram of 'AIRS'.
Can you help me to learn more?
(Other definitions for airs that I've seen before include "Ventilates, say grievances" , "Arrogance" , "Broadcasts" , "'Tunes, melodies (4)'" , "Strain's" .)