Seeing as I have posted a similar issue recently ( Found here, I would like to take the time to suggest something.
I'm not a game designer nor do I think I ever will be, but the idea is still known to me that most games have a LOT of coding and working with to make them run properly. That being said, any and all bug reports that are found need to be documented by as many of the players as possible, along with all information possible.
The issue at hand, as stated by ERockTheWorld, seems to span over several champions and several matches, however does not seem to happen every match. Finding the causes of these issues could help Riot locate and ultimately fix the bugs and help the game grow ever larger. If you wish to help with this, I will post a link to a thread I will make in a few moments that will hopefully be seen and help League of Legends go farther into a bug free environment.