Logging #anchor Clicks

I am collecting research for customer development and have a website where I want to track user activity. The design of this site is simple responsive html with jquery (I didn't build it; it was given to us). To make the user experience a flowing environment, we have anchor tags that scroll to certain parts of the page (one page, several sections, responsive). As part of our research we want to track how far down the page users continue and how many sections they view before leaving.
In the past we would have postbacks and can then easily log everything in codebehind, but obviously there are no postbacks with this design. So how do we execute the class object that logs the link name, target, timestamp, etc. into SQL Server DB with href anchor clicks? Is it even possible? Or is there another way to track these types of clicks without having to rebuild the site. Any links or examples where this can be done will be greatly appreciated. We would really like to deep the des ...