The man who has once been bitten by a snake fears every piece of rope. meaning

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The man who has once been bitten by a snake fears every piece of rope.

means that:
If one is bitten by a snake, he will be terrified of the mere sight of something that looks like a snake, so a person who has an accident, will be extremely cautious with everything.
similar
One year bitten by a snake, for three years afraid of a grass rope.