1.
Record, especially by means of a cash register, as in They had already rung up the sale so I decided not to get the extra items. [c. 1930] Although older cash registers usually signaled a recorded sale with the ringing of a bell, the idiom survives in the age of computers.
2.
Accomplish, achieve, as in They rang up an impressive string of victories.
The American Heritage® Dictionary of Idioms by Christine Ammer. Copyright © 1997 by The Christine Ammer 1992 Trust. Published by Houghton Mifflin Company. All rights reserved.