Virginia with cold year following relative's homelessness (8)
I believe the answer is:
vagrancy
'homelessness' is the definition.
(vagrancy is a kind of homelessness)
'virginia with cold year following relative's' is the wordplay.
I cannot really see how this works, but
'virginia' could be 'va' (US state abbreviation) and 'va' is located in the answer.
'cold' could be 'c' (eg on taps) and 'c' is found in the answer.
'year' could be 'y' and 'y' is present in the answer.
'relative' could be 'gran' (I've seen this before) and 'gran' is found in the answer.
No letters remain.
This may be the basis of the clue (or it may be nonsense).
Can you help me to learn more?
(Other definitions for vagrancy that I've seen before include "Homelessness" , "State of being a tramp" , "Wandering existence" , "Itinerant state" , "Living without a home by begging" .)