The state a hut can get into (4)
I believe the answer is:
utah
'the state' is the definition.
(Utah is a US state)
'a hut can get into' is the wordplay.
'can' indicates anagramming the letters (I've seen 'canned' mean this (canned can mean drunk)).
'get' becomes 'a' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'into' is an insertion indicator.
'hut' anagrammed gives 'uth'.
'uth' going around 'a' is 'UTAH'.
Can you help me to learn more?
(Other definitions for utah that I've seen before include "The American Mormon state" , "State, Mormon settlement" , "American location" , "US state N. of Arizona" , "State of Western USA" .)