As you can see, Time4Cat is an "avoidance" game where you play a time-travelling cat attempting to pick up bits of food without getting stepped on. There's unique twist, though: the oncoming pedestrians only move when you do. If you stand still, they're frozen in time... meaning you're safe, but you're also losing bonus points off of your total.
In this respect, Time4Cat actually has a hint of Braid to it, although it is obviously a far simpler game than that masterpiece. The time gimmick functions in a more subtle, complex way than you might expect, particularly when lots of pedestrians fill the screen. You'll find yourself having to plan your route carefully to move them the right amount, while positioning yourself in the correct spot at the same time.