Warfork is a demanding fast paced first person shooter with a focus on speed, aim, movement, and above all competitive play.
This game works on Linux too. Here is Steam page: https://store.steampowered.com/app/671610/Warfork/ . And here is official Warfork page: https://warfork.com/
There are videos of game play on youtube too, and guides on how to move fast in this game.
Edit: Warfork is a fork of Warsow. https://warsow.net/ .
I also believe it is a fork of Warsow as you say. But I am not so sure if Warsow has any players today and I admit I didnt invest enough of my free time to find information about Warsow. Thank you for pointing to that. If someone is reading this wants the information on Warsow here is another link https://warsow.net/ . I will try to edit my first post and mention Warsow and Warfork together. I hope I can fix that.