To sleep. Hey, it's late, we should probably try to catch some shuteye so we're not exhausted tomorrow. A: "Where's Sara?" B: "Catching some shuteye. I'm not supposed to wake her up for another half hour."

slang Sleep. (Usually qualified with words like "some," "a little," "a bit of," etc.) Hey, it's late. We should catch some shuteye so we're not exhausted tomorrow. Why don't you try to get a few hours of shuteye before we leave for the airport?

slang To sleep. Hey, it's late, we should probably try to get some shuteye so we're not exhausted tomorrow. A: "Where's Sara?" B: "Getting some shuteye. I'm not supposed to wake her up for another half hour."