Ok I figure out how to reboot. With the 7, you have to hold the wake and down volume buttons.
The whole fix didn't work though. Could it be my wifi network? I'm not entirely sure if it happens at work, I can't remember. It happened to my moms iPad when she was here this weekend though.
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So it's not really in Safari that's it's happening in but within the Facebook app essentially (since typically it loads links within the app itself)? Perhaps try uninstalling and reinstalling the Facebook app?
As for resetting on iPhone 7 line of phones, you have to use the volume down button instead of the home button to reset.
It's happening in both the FB app when I tap certain links and it's also happening in Safari when I click search results or when I go directly to certain websites. It doesn't happen all the time with every site or link.
I just turned off wifi and it's still doing it on cellular.