I'm an iOS developer and thus am running iOS 7 beta on my iPhone 5. Once thing I've noticed which may not be directly OS-related is a notable decrease in service coverage. Places where I previously had 3/4G, I now have one or no bars. This is widespread and consistent since the upgrade from iOS 6.
Obviously this could be an OS-related problem, but I just wanted to check whether there is anything on Verizon's end that might be throttling down connections from the beta OS.