E. Cobham Brewer 18101897. Dictionary of Phrase and Fable. 1898.
Bit (of a horse).
To take the bit in (or between) his teeth. To be obstinately self-willed; to make up ones mind not to yield. When a horse has a mind to run away, he catches the bit between his teeth, and the driver has no longer control over him.
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Mr. X. will not yield. He has taken the bit between his teeth, and is resolved to carry out his original measure.Newspaper paragraph, April, 1886.