Since upgrading to iOS7 on my iPhone the lock screen is bombarded with Tweets. I want to turn this off as I am sure it kills the battery and is annoying. I turned off twitter in the notification center but it had no effect.
How can I turn this off?
You will have to disable notifications for the specific client that you are using by going to Settings → Notification Center and tapping on your Twitter client, then disabling Show on Lock Screen.
If you are using the official Twitter app, you can change notification settings by opening the app and going to Me → Settings button → Settings → Notifications.