How to save private text messages
When you're having a text conversation with someone — or a group — on Snapchat, the default setting is for the message to disappear after the recipient exits the window. This can be problematic when someone replies to a message you sent, as you may not remember what you said in the first place.
To save a message, you can hover your finger over the message on your smartphone's screen and swipe right. When you see the lefthand red or blue bar get thicker, you know the thread has been saved. Users can save messages that they have sent and received. Alternatively, you can always take a screenshot of the conversation.
How to save Snapchat messages
If someone has sent you a message in an actual snap, then your options are limited. Taking a screenshot is the only way to save the message. If the message appears for a longer amount of time, then grabbing a screenshot is relatively easy. But for shorter snaps, you may run out of seconds.
In this scenario, opt for replaying the snap and getting your fingers positioned to take grab a screenshot. Know that you can only replay a snap immediately after watching the snap by pressing on snap in your feed until it loads back up again.
Who knows you've saved a message?
The recipient always knows if you've saved a snap. When screenshotting — whether it be a snap or of the message thread — Snapchat will notify the sender. As for swiping to save messages, the sender can also tell if you're saving messages there as well.