The wall climbing is a bit awkward but you can get used to it. Funny story goes well with the simple graphics and game-play. I guess it's like a platformer puzzler because you need to find/eat all the mice before the exits will open up.
Also good choice not to use the same stage BGM and eventually having things switch after the prelude.
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Thank you for your comment! Yes, you're right, it's slightly kind of a puzzle platformer. You have to find and catch all mice, before you can go on to the next level. The wall climbing is designed in a way, that it doesn't slow down the player while he's exploring the level. It starts to feel more and more natural as you proceed with the game.