That could be good advice. If you strike high up on a tree with an axe, the chip of wood that is cut off will fall into your eye.

VOA: special.2010.01.17

He controlled the fight, stopping Seki in the ninth with a cut eye.

BBC: 5. Howard Winstone

United's Rio Ferdinand spoke briefly to host Dermot O'Leary after suffering a cut eye as he appeared to be struck by an object thrown during the celebrations at the end of the match.

BBC: James Arthur wins X Factor final

He cut larger eye holes in the head for better vision.

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