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sneeze at (someone or something).
To dismiss or belittle someone or something as being not worthwhile, important, or valuable. Sure, a hundred bucks isn't a huge amount to win, but it's definitely nothing to sneeze at! The CEO just sneezed at the deal presented by the rival corporation.
sneeze at someone
to sneeze in someone's direction. Please don't sneeze at me! Cover your nose and mouth! You should never sneeze at anyone. It is very bad manners.
sneeze at something
Fig. to indicate one's disapproval of something; to belittle someone or something. I wouldn't sneeze at that amount of money if I were you. It's better than nothing. I though it was a good offer, but the customer just sneezed at it.
To treat something as unimportant. Used chiefly in the passive with a negative word: The critical nature of the job at hand is not to be sneezed at.