East European and American statesman are going out (8)
I believe the answer is:
georgian
'east european' is the definition.
(Georgia is a country in eastern Europe)
'are going out' is the wordplay.
'out' is an anagram indicator (out can mean wrong or inaccurate).
'are'+'going'='aregoing'
'aregoing' is an anagram of 'GEORGIAN'.
'and american statesman' acts as a link.
This may not be correct. Some or all of it may belong to another bit of the clue.
(Other definitions for georgian that I've seen before include "Of period seventeen hundred and fourteen to eighteen hundred and thirty" , "18th-century style of architecture" , "Early 19th-century style" , "Characteristic of the time of the first four Hanoverian kings" , "Former Soviet" .)