This is happening to me on my iPad 2.
At first I thought it was because we got Google Fiber installed, but it worked fine until I thought to myself...oh, let me update the iOS as that pesky little badge is telling me to do.
I updated and then rebooted. I updated all the apps that wanted to be updated and rebooted.
Tried Safari. The page with my favorites/bookmarks etc loaded but tapping on any of them just stalled. And I couldn't minimize the app screen or change by tapping another. All stopped and stalled.
I cleared the cache, or so I thought. Rebooted a few times.
Reset my wi-fi a couple of times. Made sure the iPad was connecting to the new Google-enabled wi-fi. Then changed back to see if it would work with our airport extreme.
Nope.
I wish I could uninstall and reinstall Safari. That would probably work.