For some reason the Parkrun results link doesn't seem to be refreshing (at least for the Edinburgh one). I picked up this tip from the Facebook page: "For anyone who is impatiently waiting for the day's results here is a wee trick. Even though the results don't appear to be up on the site, if you go to your own personal record of runs (click on your name from a previous run) then quite often the new result will appear there. From that you can get the full results for today's race. Well at least this seems to work for me."
You can also update your Parkrun details to get a text direct.