At a time when the land offices were fully occupied, this phrase came to mean a rushing business.

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1882.  [The Company] once did a land office business in ore-crushing.—Report to the House of Representatives, p. 153. (N.E.D.)

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1909.  Theatres did no unusual business, but picture shows, which are quickly emptied and filled, reported land office business.N.Y. Evening Post, Oct. 11.

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