means To sleep lightly for a short while, especially that brief stretch you steal after silencing an alarm.

from A word with murky beginnings — it first surfaces in English in the early 1800s, apparently as slang, with no agreed-upon ancestor. Its sound seems half the point: that drowsy nasal hum is likely imitative, a cousin to 'snore' and the whole sleepy family of 'sn-' words. The famous 'snooze button' came much later, attached to alarm clocks in the 20th century, and turned a noun for dozing into the small daily ritual we know now.