When scrolling up the chat, as is it visible on the screenshot, it goes out of the limited space indicated for the chat to show.

This one's a little bit tricky... This happens because the messages need to be visible as they're moving up and fading in. Not really sure we can do much about it.

Thanks for the report though! I'll keep this open and see if this is something that can be fixed.

This is now fixed with release 1.3.0!