Every time you receive an incoming text message, your iPhone displays a little preview of the message. This can become annoying if you receive a lot of messages. In addition, you may not want others to see every conversation you have going on. By default, this feature is on. Here's how you turn it off:
- Open Settings> Messages.
- Slide the Show Preview option to OFF.
Stop your iPhone from showing previews of text messages as they come in.