A fun little puzzler. And with a cool mechanic.
I noticed however, that when it's turn to move the mouse you can also click on the tile the mouse is already on, which makes it a lot easier. And is also necessary when you shoved yourself into a dead end.
Also, this is not a huge deal but, why do you play as a mouse, when the theme is "hamsters". You could have just use a hamster sprite and maybe some salad instead of cheese :D