To view your messages, tap the chat bubble located at the bottom menu bar of the app. 

Upon taping the chat bubble, you will be brought to a page with all of your conversations.

To view chat history, tap on the message.

If you want to view the user's profile, tap the 3 lines in the upper right corner of the screen, a pop up will show, click on View Profile.

Want to return back to the message screen?  Click on the <- in the upper left corner of the screen.