Automatically discard old notifications – Android Enthusiasts Stack Exchange

I’m new to the android OS, and have a few devices: Chromebook, android tablet, and android phone running google’s standard OS.

I’ve noticed when I have my phone off all morning and turn it on at lunch time, I get a stream of notifications of all the chat/email/etc that happened while the device was off, even if I engaged with them on my tablet or other devices. An extreme example, I went on vacation for a week, left my tablet off at home. When I came home and turned the tablet on, the OS was unusable while it pulled a week of chat and other app notifications.

My question: is there a setting / configuration on Android to tell it to discard any push notifications it may have gotten while offline but still display any notifications it gets while on?