Huntress from US state leaving home (5)
I believe the answer is:
diana
'huntress' is the definition.
(Greek hunter goddess)
'us state leaving home' is the wordplay.
'us state' becomes 'indiana' (Indiana is an American state).
'leaving' indicates named letters should be taken away.
'home' becomes 'in' ('he's home' can mean 'he's in').
'indiana' with 'in' taken away is 'DIANA'.
'from' is the link.
(Other definitions for diana that I've seen before include "Roman goddess equating to Artemis" , "Roman goddess of the moon and hunting" , "Roman godess of the hunt" , "Roman goodess of hunting or tragic English princess" , "British princess" .)