There are a lot of things that we need to weigh up when making APIs available, and I’m sorry that it disappoints many of you that conversations hasn’t been one of the ones that has been prioritised. Equally, there are a lot of other things that we have launched over the past year, and other things that are in motion. I’ve certainly tried to answer this request a few times, which I don’t think counts as being silent
but I also realise that “this isn’t on the radar at the moment” isn’t the response you’d like to hear.
I’m still not aware of any intent to provide conversations via the public API, but again, if that changes you’d see notifications here and updated documentation on the dev.twitter.com site.