Part of Connecticut, a hospitable US state (4)
I believe the answer is:
utah
'us state' is the definition.
(I've seen this before)
'part of connecticut a hospitable' is the wordplay.
'part of' says the answer is hidden in the clue.
'UTAH' is hidden in the letters of 'connecticut a hospitable'.
(Other definitions for utah that I've seen before include "A hut for the Mormons, oddly" , "State of western US" , "Great Salt Lake state" , "The "Beehive" State, capital Salt Lake City" , "Brigham Young's state" .)