It's called "Chat Roulette". Essentially, what it is is a free website where you can click through other random user's live webcams and chat with them or do whatever.
Not really furry, but I thought it was too cool to pass up on mentioning here. It is just too funny and random!
More info here:
http://www.youtube.com/watch?v=Iv2wFhTiBCs
In-use action here:
http://www.youtube.com/watch?v=ki_N23BGqP8
I recommend checking it out!
Updated by temporal crux