Certainly relieved, ultimately, after home covered (7)
I believe the answer is:
insured
'covered' is the definition.
('insure' can be a synonym of 'cover')
'certainly relieved ultimately after home' is the wordplay.
'certainly' becomes 'sure' (synonyms).
'ultimately' indicates one should take the final letters.
'after' is a charade indicator (letters next to each other).
'home' becomes 'in' ('he's home' can mean 'he's in').
The final letter of 'relieved' is 'd'.
'sure'+'d'='sured'
'sured' after 'in' is 'INSURED'.
(Other definitions for insured that I've seen before include "Covered against mishaps" , "Covered against accident" , "Covered for losses" , "Financially covered" , "Protected against risk" .)