Eventually disappear, being safe away from home (5,3)
I believe the answer is:
peter out
'eventually disappear' is the definition.
'peter out' can be an answer for 'disappear' (thesaurus). I'm not certain of the 'eventually' bit.
'safe away from home' is the wordplay.
'safe' becomes 'peter' (slang term for a safe).
'away from home' becomes 'out' (synonyms).
'peter'+'out'='PETER OUT'
'being' is the link.
Can you help me to learn more?
(Other definitions for peter out that I've seen before include "Diminish feebly" , "Dwindle away to nothing" , "Decrease gradually before ending" , "'Run down, taper off (5,3)'" , "True poet (anag) - come to nothing" .)