Forward-citation chasing: Is there a formal study for what I'm doing?
There is no name for it that I'm aware of.  It's how one uses the literature correctly.  You search backwards until you find the seminal papers, and then you search forwards, and then repeat until you retire.

It's much easier now than it used to be.  As recently as the '80s, the only way to do this was to find a library with a complete multi-year set of the Scientific Citation Index and grind it through.  Now, even google scholar just lets you click a button and find all the papers that cited the paper of interest.