To "carom" a ball, in America, is to hit the cue ball into ball X, and then after that collision, the cue ball goes on to hit ball Y. In Britain this is known as a "cannon", as in you cannon the cue ball off of X into Y.

In the game of cowboy, which is sort of a novelty game that is intentionally quirky, you can score points merely by making a carom.

Here's an example I got by Google image searching: https://i.makeagif.com/media/10-30-2015/ODVWHH.gif