State ignoring an Asian country (5)
I believe the answer is:
india
'asian country' is the definition.
(country in Asia)
'state ignoring an' is the wordplay.
'state' becomes 'Indiana' (US state).
'ignoring' indicates named letters should be taken away.
'indiana' with 'an' taken out is 'INDIA'.
(Other definitions for india that I've seen before include "Eastern country" , "IDA in the country?" , "land in the East" , "Kiss; quarter of a bushel" , "Code for the letter I" .)