Survive senseless final (7)
I believe the answer is:
outlast
'survive' is the definition.
(I know that survive can be written as outlast)
'senseless final' is the wordplay.
'senseless' becomes 'out' (as in unconscious or knocked out).
'final' becomes 'last' (synonyms).
'out'+'last'='OUTLAST'
(Other definitions for outlast that I've seen before include "Live longer than" , "Lout sat (anag.)" , "Go on longer than" , "Survive longer than" , "Survive beyond" .)