Yes, FeedbackFive supports animated .gif files as long as they are small enough. Upload your animated GIF and add it to your template the same way you would add any other image.
Animated GIFs can help make your templates more appealing and even provide information to your buyer (similar to a very short video).
The Image Library supports animated .gif files as long as they are less than 500 pixels wide and less than 500KB. Upload the image the same way you would any non-animated image (see How do I add my logo?)
If you upload a GIF file that is wider than 500KB, it will be resized and will appear as a still image, not animated.