Singular desire to be chic (5)
I believe the answer is:
swish
'be chic' is the definition.
(thesaurus)
'singular desire' is the wordplay.
'singular' becomes 's' (abbreviation sometimes used in dictionaries).
'desire' becomes 'wish' (wishing is a kind of desiring).
's'+'wish'='SWISH'
'to' acts as a link.
(Other definitions for swish that I've seen before include "Sound of cane" , "Classy" , "Smart, fashionable" , "Extravagant" , "Impressively smart" .)