Staying up
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to go to bed later than usual:
Staying up meaning & definition 1 of Staying up.
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If a football team stays up, it remains in a division and is not relegated (= moved down to a lower division) :
Staying up meaning & definition 2 of Staying up.
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To go to bed later than usual or go to sleep unusually late
Staying up meaning & definition 3 of Staying up.