Private messaging isn’t really private, at least not unless you encode it. The people at bittorrent know a little more than most do about privacy- and have released a product called “Bleep” which is their entry into true, encrypted private messaging. Of course, both you and your friend have to have the same app installed and figure out a way to find each other.
Bleep functions on a peer-to-peer (or P2P) model, meaning that the messages are being sent directly from one user to the next. Without a middleman, it’s virtually impossible to tell who is talking to whom, and what they are saying. It also offers end-to-end encryption, making sure that your conversation stays truly private.

To get started with Bleep, all that is required is choosing a nickname. You can share your Bleep key (under Settings:Profile) wherever you like: forum post, twitter page, etc. And no one will have any of your other details. Optionally, you can verify your email addresses and mobile numbers with Bleep, which will let your friends discover you through Bleep when they open an account.

In Your Hands, Instead of the Cloud.

Bleep’s logo represents a folded note – a message passed directly, hand-to-hand. In our implementation, we keep messages and the encryption keys for images stored on your local device, not the cloud. For messages and metadata, there is no server for hackers to target and because you hold the keys, images can’t be leaked to haunt you later. We’ve solved serverless peer-to-peer messaging, including the ability to get offline friends your messages when they come back online.

Source: Bleep Now Publicly Available Across All Major Platforms | The Official BitTorrent Blog

The problem with snapchat’s privacy was a simple screen grab could end your privacy- or taking a photo of the device with another device- Bleep brings new levels of security with its “whisper mode”

For parts of a conversation that you’d like to keep temporary, tapping “Go to Whisper” on your phone sends messages and pictures that disappear from devices after they’ve been viewed (25 seconds); holding shift on PC and Ctrl on Mac while hitting send does this on your desktop. You can switch back and forth between normal and whisper messages seamlessly, so you don’t lose the flow of your conversation.

Screenshot, or Not?
Whisper messages have additional protection for screenshots. If a friend manages to capture the screen, they won’t be able to capture who said what, since nicknames are blocked out. And if you forget who you’re whispering with, you tap the “eye” to display the nickname, but the conversation gets blurred. They can capture the conversation or the sender, but not both at the same time.

No matter what- the old maxim holds true- once it’s on the internet- it’s never private.

Read a review here: http://www.macnn.com/articles/15/05/17/new.p2p.instant.messaging.app.helps.keep.conversations.private.128638/