Teens seen off in a state (9)
I believe the answer is:
tennessee
'a state' is the definition.
(Tennessee is an example)
'teens seen off' is the wordplay.
'off' is an anagram indicator.
'teens'+'seen'='teensseen'
'teensseen' anagrammed gives 'TENNESSEE'.
'in' is the link.
(Other definitions for tennessee that I've seen before include "... Williams, and southeastern US state" , "US state, capital Nashville" , "playwright's assumed first name" , "State of south-east US" , "Name of US dramatist" .)