There shouldn't be a loading screen, the game is only about 900 kb in size.
The only tips I've got are the obvious ones, but :
1. Don't use Safari, people are having issues because of some dumb security feature on some devices.
2. Try downloading the game and playing it locally. It's a text game, even if you're worried about privacy, it's easy to bury it somewhere and call it "readme.html" so nobody tries opening it.
3. Try another web browser, even if it's some kind of stock browser nobody likes.
4. I don't think this game works on ancient (I mean OLD) devices, thanks to Twine's modern-ish HTML.