State of torn university hat (4)
I believe the answer is:
utah
'state' is the definition.
(Utah is an example)
'torn university hat' is the wordplay.
'torn' is an anagram indicator.
'university' becomes 'u'.
'u'+'hat'='uhat'
'uhat' anagrammed gives 'UTAH'.
'of' is the link.
(Other definitions for utah that I've seen before include "The "Beehive" State, capital Salt Lake City" , "member of union" , "State of the union" , "State of Western USA" , "State founded by Mormon" .)