Movement revolves around building and keeping momentum. High speed lets you run on any surface: walls, ceilings, loops. Mastering the move set lets you do basically anything.
Abilities revolve around movement. Your signature move lets you jump/dash in any direction, while others let you reverse and even store your momentum.
You only have 10 minutes to work with, but can rewind the entire map to any point in time. Solve puzzles by going down one-way paths, making temporally persistent changes, then rewinding. Unlock shortcuts, go fast and manage your limited time.
Movement and combat are one and the same as damage scales with speed. You're fragile but also immune to kinetic damage, so collide with enemies and obstacles head on to destroy them.
It's not clear why the facility is going haywire or what happened to all the people. The retro-futuristic setting is inspired by the Cold War era which should give you some idea. For those who are done with the story, you can activate "speedrunner mode" to skip cutscenes and time your run.