Now it is possible to save links, places, events and more on Facebook. It is live for both desktop and mobile. Just click on the right top corner and press Save.
It works only with special posts in connection to a Facebook page, event, movie etc.
You can find the saved things on the special Facebook page Saved or just click on the quick links on the top of this page. You can write on Facebook search bar "save" and the page will appear. Once you save something a new icon in the navigation of the News Feed will be shown. Facebook will remind you about saved thing in the News Feed.