If I paste the following URL into Facebook I can share an animated gif. It\'s not a movie and not flash, Facebook now supports gifs without those workarounds. I can click it
An important point which answers have missed, how to make GIF image (if clicked) redirects to the article which belongs to instead of the GIF link itself?
The important parts are:
Add two og:url
tags. First one should be the same as og:image
pointing to the GIF image URL. Second one should be the URL to the article.