When they day is over you simply can't progress to the next day. It shows the box "REST" and when you are there is asks you whether you want to end the day early, but then you are stuck.
When the timer runs out everything becomes black. There is a "REST" label in the black void. You can't enter it directly as there are invisible walls. When I move there the popup box asks me if I want to end the day early and no matter what I do, the box disappears and everything is still black besides the REST label.
So... super weird, but I tried again on my personal laptop (same browser, Chrome) but didn't have this issue again. I was playing last night on a work computer (DON'T TELL ANYONE!!) so I'm wondering if something was trying to block it from working?
I'll see if I can look into it next time I'm at work, unless Ravery is able to help :)
I also had the same issue. I use firefox for itch games. When I open my web console I do see a few errors pop up that look like they are related to the game. there's a couple more that couldn't fit into the screenshot, but there's several calls on sprites not working, and other stuff like that. I'm not sure what's causing the issue though, since it seems to work on some computers and not others, but hopefully this points you into the right direction. 
