To run off, to cause to flow away, as a charge of molten metal from a furnace.

To run on (Print.), to carry on or continue, as the type for a new sentence, without making a break or commencing a new paragraph.

To run out.
   (a) To thrust or push out; to extend.
   (b) To waste; to exhaust; as, to run out an estate.
   (c) (Baseball) To put out while running between two bases.

To run the chances, or one's chances, to encounter all the risks of a certain course.

To run through, to transfix; to pierce, as with a sword. ``[He] was run through the body by the man who had asked his advice.'' --Addison.

To run up.
   (a) To thrust up, as anything long and slender.
   (b) To increase; to enlarge by additions, as an account.

Source: Webster's Revised Unabridged Dictionary (1913)