To run up Meaning, Definition & Usage

Definitions
  1. to rise; to swell; to grow; to increase; as, accounts of goods credited run up very fast.
    But these, having been untrimmed for many years, had run up into great bushes, or rather dwarf trees. Sir W. Scott.
Definitions
  1. . (a) To thrust up, as anything long and slender. (b) To increase; to enlarge by additions, as an account . e.g. to incur a debt, as to run up a bill (c) To erect hastily, as a building .

Webster 1913