It seems that for non-proirity cases, Quest is saying that it now takes 7 days or more for results to come in. This is ~125k of the daily tests performed in the US. Of course, based on this information alone, there's no telling how other labs are doing on test result turnaround times. I will also say, for what it's worth, that personally when I was tested a few days ago it took less than 24 hours to get results, and I doubt I was a priority case. But I also didn't go to a federally funded testing site.

1.https://newsroom.questdiagnostics.com/COVIDTestingUpdates