Exactly what I was looking for

I’ve crawled through the whole web to find a plugin for a floating button that

a) isn’t mandatory a social one
b) can be switched on and off for single pages
c) is customizable to the point that it fits a company CI

… and I’ve found it!

Plus, the “Wow company” provided some extraordinary support so far. That being said, I couldn’t have made a better choice. 5 stars!