Skirt worn by favourite (6)
I believe the answer is:
minion
'favourite' is the definition.
'skirt worn' is the wordplay.
'skirt' becomes 'mini' (a mini skirt).
'worn' becomes 'on'.
'mini'+'on'='MINION'
'by' is the link.
(Other definitions for minion that I've seen before include "Servile dependant" , "An archaic servant or inferior (6)" , "Servile follower" , "Flunky" , "Servile favourite" .)