Away at first, person finally came home (5)
I believe the answer is:
abode
'home' is the definition.
('abode' can be a synonym of 'home')
'away at first person finally came' is the wordplay.
'at first' suggests taking the first letters.
'person' becomes 'bod' (I've seen this in other clues**).
'finally' indicates one should take the final letters.
The first letter of 'away' is 'a'.
The last letter of 'came' is 'e'.
'a'+'bod'+'e'='ABODE'
(Other definitions for abode that I've seen before include "Dwelling, residence" , "Where one lives" , "House made of adobe" , "Place of residence" , "stay" .)