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Monster to look greedily left to right (4)

Ross

I believe the answer is:

ogre

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'monster' is the definition.
(synonyms)

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

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(Other definitions for ogre that I've seen before include "stern one who inspires fear" , "man-eater" , "ugly one" , "Monstrous creature" , "Evil giant" .)

I've seen this clue in The Hindu.
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