I had one other person complain that it wasn't working for them in the same way - it could be either due to the network you're on or your browser settings. You can try loading it on another browser or device; it should work on phones and desktops. I'm hoping to release an update this weekend that handles these loading issues more gracefully.
Edit: I think that this is probably happening due to a Chrome setting, "Block third-party cookies in Incognito." If you're in an Incognito tab (understandable!) the game will try to access the place where it saves and loads the game, and it'll fail due to this setting. You can either try playing in a non-Incognito window or disabling that setting for now, but I'll try to make it at least not crash in an update this weekend.