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/ .
Warsaw is practically unmaintained. The Warsaw owner cancelled the Steam release despite the greenlight succeeding, leading to many devs and most of the community switched to Warfork