I call it "stuttering."
There are different ways to do it, and I think there are some plugs that will do that for you.
I'm just guessing here, but you could use a sampler to get the effect. First sample what you want to stutter. Route an LFO to Amp. Use either a ramp or a square/pulse wave. Adjust the LFO depth so that the bottom of the LFO wave is complete silence. Use your mod wheel for a source, and you can induce a gate-style stuttering any time you want.
That's the EASY answer.
You could also cut the waveform in the audio track and set it to loop. Personally, I'd cut the wave a little short and add a few milliseconds of silence to get a hard stutter, which to my ears is more effective.
You can also get some similar effects with a granular synthesizer, like Absynth. Set a large grain size, lowest possible density, no randomization, and drop the percentage down to 0% when you get to the part you really want to mangle. That means that whatever grains are sounding at that point in time will loop on themselves until you bring it back to 100%. The percentage is the playback speed of the sample, btw, and when you drop the percentage the pitch remains intact.