Default Notifications turn the screen on, and it STAYS on.

Per title. I've googled and found answers that refer to turning off "preview message" in the messaging app, but it's not on for me. I'm not previewing messages, but every time I get a text it turns on the screen and it STAYS on. Is there any way to stop that from happening?
So punish me for weakness, blame me for everything.
I don't like suffering, I like the sympathy it brings.