Yes, I'm running iOS 8.0.2. My Messages settings under Notifications are as follows:
Allow Notifications: On
Show in Notification Center: 5
Notification Sound: Note
Badge App Icon: On
Show on Lock Screen: On
Alert Style When Unlocked: Banners
Show Previews: Off
Show Alerts from Everyone
Repeat Alerts: Once
Have you tried a hard reset of your phone? (Hold down the Home button and Lock button until the screen goes black and the Apple logo appears)