unprotected snooze
The period of time between when your alarm clock initially wakes you up (you turn it off instead of hitting 'snooze'), and when you actually get out of bed. After it's off and you're still lying there 'resting your eyes for a couple more minutes' you risk the chance of falling back asleep without an alarm clock to wake you up this time.
Jim: Why were you 15 minutes late today?
Bob: I woke up on time, but then I had unprotected snooze and, well, you know the rest.
Bob: I woke up on time, but then I had unprotected snooze and, well, you know the rest.