Yesterday, as I was watching IPL4 League of Legends, I thought to myself: "Why am I not watching this on my TV?" Off to the Playstation 3 I went and tried to bring up the stream. Of course, it could not be that simple and I ran into Flash not supported and a number of other errors.
Eventually, I found something that worked.
On a forum, I forget which, I learned that if you add '/popout' to the twitch.tv (or justin.tv) link it would work... and it did! For example...
Sometimes I had to refresh a few times, but in the end I was watching the stream through my PS3.