A supporter of elegant living (3)
I believe the answer is:
leg
'a supporter' is the definition.
'of elegant living' is the wordplay.
'of' indicates a hidden word.
'LEG' is hidden in the letters of 'elegant living'.
(Other definitions for leg that I've seen before include "Lower limb" , "prop" , "Stage (of race)" , "Member" , "Projecting support for chair or table" .)