Comments/Live Blogging

I hope this posts finds you well!

I wanted to add a feature to my site that would allow me and others engage in a live continuous debate. Although I never have used Twitter, I imagine it would be something like that. One person posts something, I respond, and that continues indefinatley. Hopefuly it could be dated and most recent exchanges at the top.

Are there any plugins that allow this kind of feature?

P.