How I use the referral system
So we all know that the new automated referral system rarely results in anyone actually getting punished. Personally, I have only ever received one notification saying that a player I reported was punished. That's why I started thinking, "Hey, Riot's given us this tool, and it doesn't really do it's intended job. Why not be creative and use it for something else?"
The best revenge vehicle to ever grace the Rift. Jungler won't give you blue buff? Reported for unsportsman-like conduct. Someone implies that you're bad or that they're better than you? Reported for vulgar abuse. Bot feeds Lucian? Reported for intentional feeding.
Obviously these reports won't actually result in anyone getting punished, since they don't actually deserve them and its unlikely that others will report them. But it feels so good on the reporters end - you can win any transgression with a "Muted and reported. Enjoy! :)" in chat. This mentality has made me a much less toxic player since I get the revenge I need without actually looking bad myself.
For the passionate members of the community, I highly suggest using the report system liberally. It's so much more effective than uselessly raging in chat and risking getting reported yourself.