Robots and Pencils has released Jeff (https://robotsandpencils.com/jeff/), a Mac OS X Yosemite app that allows users to record their screen as a GIF and share it anywhere with Dropbox.
You can drag and expand Jeff to any size. After recording, the app will automatically upload a GIF to the user’s Dropbox and create a link. The GIF can then be shared by pasting the link.
Jeff requires OS X Yosemite or later. It’s available for US$9.99 at the Mac App Store in the Productivity category and is free for not-for-profit organizations.