I have GA set up in our cloud instance recently and it works fine. Assuming you have GA set up in Google. Just add the account ID in the system settings. And that's it, it will start working more or less straight away. Real time analytics is really cool!
Now to track clicks you can try Campaign URL Builder from Google. Basically you tag links so you can track them in GA. It's most commonly used for email marketing campaigns but can be used to track any link on a web site. It is a manual process so you have to add the links into the tile or widget.
it's something I want to use as I want to test our navigation links and news stories (who clicks on what and where) but I haven't done it yet so I cannot say it works or not.