To personalize your chat with someone on Snapchat, you can follow these steps: 1. Open the Snapchat app 2. Tap on your profile icon 3. Select "My Friends" 4. Search for the specific user you want to personalize the chat with 5. Tap on their profile 6. Choose the "Chat" option 7. Edit the chat name to give it a custom name 8. Assign a specific emoji to the chat. Now your chat with that person will have a unique name and emoji associated with it.