Heres chess.com info on the matter:
http://support.chess.com/Knowledgebase/Article/View/171/0/fair-play-policy
also if you are finding your connection poor, then please ensure you are not downloading programs, streaming or downloading music, video, youtube etc.
If your problem still persists i would urge you to contact your ISP (internet service provider) and see what speeds you are gettting, if they re not fast enough then i suggest shopping around for a new ISP :)
Hope that helps
Regards
Hydra
I have a question about is it good to restrict a person for having a screwed up internet connection. I play live chess and because of my internet i get disconnected in some of my games and i loose those games on time. And for that now i am getting messages that i will be restricted, isn't there a way to know whether the person is actually doing it by purpose or has a stupid internet connection like mine??