I use wwitv.com a lot (not a typo!) and I find that Chrome has so far been the best browser for watching live tv in this capacity. The vido player launches seamlessly at the top left (default) and any windows that pop up (usually ones related to the channel I'm watching) are closed without any disruption to my viewing. As for the bbc iPlayer - again, it's just about the best browser for that purpose as it's just proved to be the slickest thing out there for that kind of thing....
Everything else about Chrome - no java support and any wep pages I scroll down, I can't scroll back up.... plus, I don't like the lack of options available either. But... it is still a test model and on the whole, I do like it a teensy-weensy bit.
If Chrome was more geared towards streamed media content and made that its main goal and if the next release they could tweak a few things and make it even faster, then I'd say that this browser could end up being my second choice browser after IE...
(Firefox is first and will always be my prefered browser of choice..!)