Open Snapchat
Swipe right to go to Chat
Press and hold the conversation
Tap Chat Settings or More
Tap Clear Conversation
Confirm the action
To delete a saved message in a chat
Open the conversation
Press and hold the message
Tap Delete
Confirm if prompted
To clear all conversations from Chat feed
Open your profile
Tap the gear icon for Settings
Scroll to Privacy Controls
Tap Clear Conversations
Tap the X next to each conversation you want to remove from the Chat feed
Confirm if prompted
To delete an entire chat history from your device
Clear the conversation from Chat
Delete saved messages in the chat
Block and unblock the user if needed to reset the thread visibility