Recording On Page at User Discretion?

I work purely on heavy use intranet applications. Due to the usage and frustration with many of these applications, users are more than willing to provide detailed feedback. We have been throwing around the idea of a recording service that can be embedded on web apps and used to allow users to record their feedback, issues and what not with the application.

This would function sort of like a hybrid between a feedback button and a digital diary study. It would be one click to record audio/video and screen (like Morae and Camtasia) and one click to finish, with a single confirmation to "submit" their recording to the application team.

My question is, does anyone know if something like this, or close to it, exists?