Have you tried the new Instagram self-destructing messages?  Another very similar feature to Snap Chat.  This feature alsoinstagram-1581266_960_720 notifies you if a screenshot has been taken of the message.  These notifications are only for the new disappearing message feature, which,most people haven’t figured out how to use anyway.

There is a recent Instagram screenshot feature that is a bit strange. Take a screenshot of your feed and Instagram will pop a new window down saying “You can share this post with your friends.” Now the app understands that you’ve taken a screenshot of an image and it is guessing that you want to send to someone or post online.  Now it will offer a few ways to officially share the image if you tap the button.