State that's turned about (4)
I believe the answer is:
eire
'state' is the definition.
(Eire is an example)
'that's turned about' is the wordplay.
'that's' becomes 'ie'.
'turned' says the letters should be written backwards.
'about' becomes 're' (regarding).
'ie' written backwards gives 'ei'.
'ei'+'re'='EIRE'
(Other definitions for eire that I've seen before include "Republic across the water" , "Southern Ireland" , "Former name of the Irish Republic" , "island" , "Irish name for Ireland" .)