I loved this, 5/5 Narrative, I loved the loop back to the start at the end of the story.
The way the home screen changes and the timekeeper remembers your previous game when you start it again is an awesome meta detail. That the timekeeper's powers transcend even runs of the game.
[Spoilers]
As a way to improve this already great game, maybe you could give the player a bit more of an ability to make choices that effect the story e.g. defying the timekeeper repeatedly or refusing to give the curse to your past self could break the cycle.
[No more spoilers]
Great to see that I wasn't the only one using python for the game jam either (your code looks a lot nicer than mine haha, my code quality always goes downhill when I have to rush out such a short project).