Crossword Genius

It's right on the map (4)

Ross

I believe the answer is:

east

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'it's right on the map' is the definition.
(I've seen this in another clue)

'it's right on the map' is the wordplay.
'right' indicates one should take the final letters (the letter on the right of the word).
'on' is an insertion indicator.
'the map' becomes 'eat' (I can't justify this - if you can you should give a lot more credence to this answer).
The last letter of 'ts' is 's'.
's' inserted within 'eat' is 'EAST'.

Can you help me to learn more?

(Other definitions for east that I've seen before include "One regularly holding hands" , "Direction of the rising sun" , "Tom's friend" , "Airport near Derby" , "Sunrise direction" .)

I've seen this clue in the Evening Standard, The New York Times, the Newsday, the King Feature Syndicate and the USA Today.
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