US state ignoring last Asian (6)
I believe the answer is:
indian
'asian' is the definition.
(I know that Indian is a type of asian)
'us state ignoring last' is the wordplay.
'us state' becomes 'indiana' (Indiana is an American state).
'ignoring last' means to remove the last letter.
'indiana' with its final letter taken off is 'INDIAN'.
(Other definitions for indian that I've seen before include "Of a subcontinent in Asia" , "One type of elephant" , "This summer may happen in late autumn" , "Type of club, file, tea or summer" , "May be Asiatic or N. American" .)