Very fun game, easily my favourite this year so far.
The graphics are great and the gameplay is unique.
EDIT: The game should explain its mechanics better, like how low ratings have said.
I'm going to do a quick TL;DR, so to begin the cat's hands are sticky so they stick to surfaces when holding the mouse bottons, it's basically what you meant by "grab", but this prolly doesn't explain how to travel well. Left click for the left hand, right click for the right hand BTW this is how you climb those fridges. Also not explained is how ducking works, you can get a buttload of aerial speed by holding down then pressing both left and right on the mouse.
The "how to play" really explains nothing and there's no ingame tutorial either, the very little you learn you learn it from NPCs, 1 per level. This is kinda embarassing NGL.