Anxious, though at home safe (8)
I believe the answer is:
insecure
'anxious' is the definition.
('insecure' can be similar in meaning to 'anxious')
'at home safe' is the wordplay.
'at home' becomes 'in' ('in' can be similar in meaning to 'at home').
'safe' becomes 'secure' ('secure' can be a synonym of 'safe').
'in'+'secure'='INSECURE'
'though' is the link.
(Other definitions for insecure that I've seen before include "Lacking self-confidence or assurance" , "uncertain" , "Not firmly fixed" , "Wavering" , "open to attack" .)