You can get the free Gyazo Add-On for Hipchat at Atlassian Marketplace.
Install the Add-On and post a Gyazo links in your HipChat Rooms. It will automatically display Gyazo images inline.
You can now share screenshots and screen GIFs right in HipChat, making collaboration easier than ever.
It works with all types of Gyazo links including images and animated GIFs.