  The study of kink interactions in nonlinear Klein-Gordon models in
$1+1$-dimensions has a time-honored history. Until a few years ago, it was
arguably considered a fairly mature field whose main phenomenology was well
understood both qualitatively and at least semi-quantitatively. This consensus
was shattered when H. Weigel and his group established that the effective model
that had allowed this detailed understanding contained an all-important typo.
Remarkably, they found that correcting this error wipes out both the
quantitative and qualitative agreement and, in fact, leads to additional
problems.
  We summarize the history of the subject from the early studies, up to
Weigel's work and reflect on where these recent developments leave our
understanding (which, quantitatively, is close to square one!).
  Importantly, we stress a number of emerging additional directions that have
arisen in higher-order power law models and speculate on the associated
significant potential for future work.
