Survive being dismissed, as it happens (7)
I believe the answer is:
outlive
'survive' is the definition.
('outlive' can be a synonym of 'survive')
'dismissed as it happens' is the wordplay.
'dismissed' becomes 'out' (I've seen this before).
'as it happens' becomes 'live' (as in live television).
'out'+'live'='OUTLIVE'
'being' is the link.
(Other definitions for outlive that I've seen before include "Survive beyond (another)" , "Survive longer than" , "Die after" , "weather" , "Go on longer than" .)