There's a similar, though not quite as good, Chrome extension called Sidewise. Unfortunately Chrome itself is not as extensible as Firefox so there are issues in Sidewise, the most glaring being that the list of tabs appears in a separate window and Sidewise snaps its position and layout to match your Chrome window using some heuristics.
All that said, just use Firefox. It's a much better experience and after Quantum it's on par with Chrome in terms of UI performance.
The decisions taken by the Mozilla Corporation for the past years make them look like they've completely lost control of themselves. I don't feel like I can trust them at all. I don't want to know what they are going to pull off next week, so I've decided they won't execute any more code on my machine.
Well you gotta pick your poison. It's either them or Google. To be honest, "poison" is too harsh. Mozilla has done a few stupid things, but they're far more trustworthy than other Internet players.
Vivaldi is based on Chromium and allows tabs to be positioned on the side - not Tree Style in terms of hierarchy, but you get the screen-space and usability benefits.
All that said, just use Firefox. It's a much better experience and after Quantum it's on par with Chrome in terms of UI performance.