Good media personality shows spirit (5)
I believe the answer is:
ghost
'spirit' is the definition.
(spirit can mean a ghost)
'good media personality' is the wordplay.
'good' becomes 'g' (abbreviation).
'media personality' becomes 'host' (eg a TV host).
'g'+'host'='GHOST'
'shows' acts as a link.
(Other definitions for ghost that I've seen before include "who has a haunting act?" , "Supernatural apparition" , "Visible manifestation of a dead person" , "give it up" , "insubstantial presence" .)