Not when dealing with techiemedia.net and I know in my heart if something did happen they would be the first to do their best to make it up to me.
They also are very scalable so there is no damn reason you should not be seen from to much traffic unless of course your under a wide scale attack - even when that has happened they personally got a hold of me to assist. Heck even on more than one occasion when my average bandwidth doubled nearly instantly they got a hold of me to see if it was something they should look into. Once it was a password issue and the other time I had sold a site and the new owner was just pulling the entire site down.
Though if your of the super worried type there are services and such that will monitor and text/call you if your site goes down etc.
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