Open Snapchat
Swipe right to go to Chat
Press and hold the message you want to delete
Tap Delete
Tap Delete again to confirm
To delete an entire conversation, press and hold the chat
Tap Chat Settings
Tap Clear from Chat Feed
Tap Clear to confirm
To delete a saved message, press and hold it
Tap Unsave in Chat
Tap Delete if you want to remove it from the chat
To delete all chats, go to Settings
Tap Clear Conversations
Tap the X next to each conversation you want to remove from the chat list