From the org-inline-image package, with minimal modification ( the only change is testing if the figure is an image by checking the 'org-image-overlay, instead of the custom created oerlay). This requires the package dash.
It will automatically play the gif after you've left the (point) on the image. Sadly play gifs seem to be computationally intensive on emacs.
;; Copyright (C) 2014 Matus Goljer <matus.goljer@gmail.com>
;; Package-requires: ((dash "2.5.0"))
(defunorg-inline-image--get-current-image()"Return the overlay associated with the image under point."(car(--select (eq(overlay-get it 'org-image-overlay)t)(overlays-at (point)))))(defunorg-inline-image--get(prop)"Return the value of property PROP for image under point."(let((image (org-inline-image--get-current-image)))(when image
(overlay-get image prop))))(defunorg-inline-image-animate()"Animate the image if it's possible."(interactive)(let((image-props (org-inline-image--get 'display)))(when(image-animated-p image-props)(image-animate image-props))))(defunorg-inline-image-animate-auto()(interactive)(when(eq 'org-mode major-mode)(while-no-input
(run-with-idle-timer 0.3nil 'org-inline-image-animate))))(setq org-inline-image--get-current-image (byte-compile 'org-inline-image--get-current-image))(setq org-inline-image-animate (byte-compile 'org-inline-image-animate ))(add-hook 'post-command-hook 'org-inline-image-animate-auto)