A banker's intoxicated state (8)
I believe the answer is:
nebraska
'state' is the definition.
(Nebraska is an example)
'a banker's intoxicated' is the wordplay.
'intoxicated' indicates anagramming the letters.
'a'+'bankers'='abankers'
'abankers' is an anagram of 'NEBRASKA'.
(Other definitions for nebraska that I've seen before include "American state, capital Lincoln" , "Midwest state - Springsteen album" , "US Great Plains state" , "Wading bird" , "State of central USA" .)