Country offering signed visas, every other one ticked off (5)

I believe the answer is:

india

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'country' is the definition.
(I know that India is a country)

I don't understand how the rest of the clue works.

(Other definitions for india that I've seen before include ""Bharat", locally" , "South Asian republic" , "Commonwealth state" , "Type of paper, rubber etc" , "Kiss; quarter of a bushel" .)

I've seen this clue in The Times.

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