To dribble. Dial. in England.

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1845.  At another time [David] feigned himself insane, by figuring on the wall, and letting the spittle drule down on his beard.—P. P. Pratt’s account of his escape, Feb. 18, The Prophet, N.Y.

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1854.  [A frog] with his chin upon a heart-leaf, which serves for a napkin to his drooling chaps.—Thoreau, ‘Walden,’ p. 124. (N.E.D.)

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1857.  There sat Jack [a dog], on a rising ground, with his tongue hanging out, and his mouth drooling with satisfaction.—Putnam’s Mag., ix. 288/2 (March).

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