Google two-step verification doesn't want to work. Pops up, I approve and nothing happens
I've encountered this issue before and in the end it turned out to just be a server-side outage / traffic.  Either wait it out after submitting or try again in a bit if it times out, but don't spam requests as it'd likely contribute to the delays.  Feel free to confirm it's not an network/carrier/ISP connectivity issue on your end first (e.g., switch to mobile data or vice versa), but when it last occured I was quite peeved there was no mention anywhere on Google's end in support resources regarding ongoing outages.