Blind drunk, going round university city (6)
I believe the answer is:
dublin
'city' is the definition.
(Dublin is an example)
'blind drunk going round university' is the wordplay.
'drunk' indicates an anagram.
'going round' indicates putting letters inside.
'university' becomes 'u'.
'blind' anagrammed gives 'dblin'.
'dblin' enclosing 'u' is 'DUBLIN'.
(Other definitions for dublin that I've seen before include "City of 1 across" , "Capital of Ireland" , "European capital" , "European city" , "Irish capital city" .)