Elvis represented in biographies (5)
I believe the answer is:
lives
'biographies' is the definition.
('life' can be a synonym of 'biography')
'elvis represented' is the wordplay.
'represented' indicates anagramming the letters.
'elvis' with letters rearranged gives 'LIVES'.
'in' is the link.
(Other definitions for lives that I've seen before include "Is animate" , "Resides" , "Elvis (anag) - is not dead" , "See 5" , "Exists" .)