This technique is called jump-cutting, and while it isn't easily automated it can be done pretty quickly with keyboard shortcuts and pro editing software.
In Premiere Pro, for example:
- Scrub through the timeline. Every time you get to a moment you want, use the razor tool to cut the clip (
ctrl+k), skip a few frames, and make another cut. Repeat. - Once you've made all your cuts, select every clip and ripple delete (
shift+delete) them.