I'm actually against it, at least for the time being.

  (Edited: )

The main difficulty I see in it, is that you can't save replays or prove your wins. So this presents the challenge to everyone in "taking their word" who the winner was. You also can't currently observe games, unless one person was to stream, upon which the other player could stream snipe that person and see his/her cards.  Point being, I don't think the Hearthstone Beta is quite cut out for any tournaments just yet.