Great Salt Lake's state (4)
I believe the answer is:
utah
'great salt lake's state' is the definition.
(I've seen this in another clue)
This is all the clue.
(Other definitions for utah that I've seen before include "Brigham Young state" , "A hut marks the State" , "A hut for the Mormons, oddly" , "Bryce Canyon US state" , "State of western US" .)