It _should_ be pretty much immediate, so if something's still the matter it's unlikely to be the system itself
Late, but have you tried ctrl + f5 for a hard refresh? If that doesn't work you could try clearing out your browser cache too.
ok thank you all, I figured it out. because I'm using iframes I need to ctrl + f5 with just the target page open, and then do it again when I have the target page open inside the iframe.... it
If you come to view the site, please don't forget to click the "Not in an iframe" link! Neocities is terrible about removing the rest of the page. You can view it properly from there by going to the navbar and clicking Fun > Games.