Although a good idea, it would be another thing that would have to moderated, not to mention the amount of server resources that would need. An average video is around 5-15mb(probably more) so that's ~100 videos per gb of space. at 10 videos a day gD would go through a gig of storage every 10 days. Not to mention the bandwidth of uploading it and people watching it. Although plausible not really a needed feature.
However maybe a forum section to post videos linked from Youtube or another video hosting site.