You can quickly and easily delete Snapchat history in the Snapchat app. You can remove all recent snapchat conversations you sent and received to your friends.
1. Open Snapchat and tap the ghost at top.
2. Click the gear icon in the top right corner.
3. Scroll down to Account Actions and select Clear Conversations.
4. Click Clear All in the top right corner to remove all Snapchat history on your phone!
Now, when you go to your Snapchat chat history, you will have no snaps.