Riot, seriously, fix your launcher/client/whatever.
I've tried reconnecting to a game 12 times. 12. That's an awfully high amount of reconnect attempts. Ever since patch 4.21, I've been disconnected from at least 5 games for no apparent reason. People are complaining, you should do something about this because the player base is not happy at all.
Links: http://boards.na.leagueoflegends.com/en/c/bug-report/UA1Eh3Jg-crash-loading-into-game http://boards.na.leagueoflegends.com/en/c/bug-report/RNU5vaJV-constant-crashing http://boards.na.leagueoflegends.com/en/c/bug-report/QANdgLzG-fix-this-junk-it-is-ridiculous http://boards.na.leagueoflegends.com/en/c/bug-report/pG3AOeVM-loading-screen
All of the above have been submitted within 24 hours of this post.
Funny thing is, even after countless reconnect attempts, I still couldn't reconnect and just called it quits.
TL;DR: Fix your launcher and stop asking people to turn off their firewalls because they already are off.