Any update on this? It would be good to hear what the situation is from someone at Twitter.
Currently, if someone quotes one of our tweets we simply won’t know about it!
As others have already said, running a search for every tweet a user has made just doesn’t scale (I’d imagine that stands both for us using the API, and the load doing so would cause on Twitter’s servers).
I like @richardhyland’s idea of including them with mentions, which would meet our use case, but would also be happy if this was available in a separate timeline. It just needs to be made available somehow, particularly with how popular quote tweets have become.