The Bible says: "As the door turneth upon his hinges, so doth the slothful upon his bed" (Proverbs 26:14). The large majority of the time, hitting the snooze button is a lack of temperance rather than something Biblically justifiable that can be done for the glory of God. Furthermore, just as hitting the snooze button is bad for your soul, taking time away that you could spend with God and giving in to the flesh, so hitting the snooze button is actually not good for your body, either.
If you hit the snooze button two times a day, and snooze for ten minutes each time, you will lose 7,300 minutes a year that you could have spent seeking the Father, Son, and Holy Spirit. Do you really think this is the most God-glorifying way to use the short time you have to live? Should you change the time that you rationally determined you needed to get up the night before to do what your flesh says in the morning instead?
By the way, in addition to the Sheet on Sleep below, one would do very well to avoid entering into temptation and setting oneself up for failure through things like being able to turn off the alarm clock without getting out of bed, having no backup alarm, etc. (A loud alarm is the Sonic Bomb Alarm Clock, which we use as a backup--the normal clock radio has nice Christian music to wake up to, but woe to the person who is still in bed a very small number of minutes later and hears the Sonic Bomb go off.) Parents should also train their children not to turn like the slothful man upon his bed by enforcing a no-snooze button policy, giving their children more time to spend with God, possibly saving them from losing future employment by being late to work, and by, overall, delivering them from this bad habit by not allowing it to begin early in life. Of course, going to bed early enough to get well rested also helps. God "giveth his beloved sleep" (Psalm 127:2), but it is planned sleep, not sleep determined by the flesh's desires gaining the mastery.