Survive journey away from home (4,3)
I believe the answer is:
ride out
'survive' is the definition.
(thesaurus)
'journey away from home' is the wordplay.
'journey' becomes 'ride' (riding is a kind of journeying).
'away from home' becomes 'out' ('out' can be a synonym of 'away from home').
'ride'+'out'='RIDE OUT'
(Other definitions for ride out that I've seen before include "Endure" , "Survive" .)