While Apple's Live Photos feature was already introduced on the iPhone 6 S the rest of the world has not yet caught up. Many apps do not accept this feature, making it difficult to share your funny memories with friends, family, or followers. However, you can remove Twitter from this list because the app now fully supports the sharing of live photos.
Start with a new tweet and then tap the "Photo" icon at the far left of the composer's menu bar. Alternatively, long-press the composer key, then tap the photo icon or slide and release. Next, select your live photo from the gallery. You can search it in the default view, but you can also access your live photo album by tapping "All Photos" in the options and then "Live Photos".
With the photo selected, tap Add. At the bottom left of the photo preview, tap "GIF". That's it! Twitter turns your live photo into a GIF that can be shared with the world. It's not the same as uploading and viewing real live photos in tweets, but it's probably better to convert them into movie files first.
You can see how this works in the following Twitter promotional video. Currently we know that the feature is applied when using the Twitter app itself. However, it may not work if you share a live photo for Twitter or use the web app in a browser.