After an OutOfMemoryError in the client, you are given the option to go "Back to title screen" and keep playing. However, the client does not close the connection to the server.

This means that if Minecraft runs out of memory while playing on a server and you keep playing and join another server or single player world, you will still receive the chat messages and time updates of the first server. The log will be spammed with errors trying to handle other packets.

Also, the F3 pie chart is not closed, chat messages are not cleared, and music from the game keeps playing.