Cute game! I got to the High Climb level. The cat animation is really good and the music is very suspenseful, creating a nice atmosphere. The save points were very generously spaced.
The camera could use some improvement because sometimes you can't see what's below the player -- are there platforms to catch you, water, or does it just drop off into an abyss?
Because the water is such a muted color, I didn't even notice that it was rising in that one level until I had died by falling into it after about 10 times. I would recommend making the water a brighter color so it's more obvious that it's something that can be interacted with.
But overall a good game and I also liked how it could be played online!