Game won't run while i'm on it

Okay here is an issue i have been having on and off. For some odd reason, when my game is on, i am able to do a champion select. However, i am unable to play the game. It starts saying "Attempting to Reconnect" but when i am not on the game... i can hear the game start running smoothly like it's as if i am playing it. I'm tired of getting penalties for involuntary leave and afk. I would like to know what in the world is going on and why is my game reacting this way. Is there anyway that i or whomever can fix it? It's really getting on my nerves and i find that i may no longer enjoy this game anymore if i cannot play without this sort of issue.