Nice game! The music is a perfect fit for the game.
Here are my thoughts :
It's challenging to control two units in the game, which could be the main appeal of the game. I often clicked the wrong button, ending up moving the dog instead of my character. Maybe changing the controls to mouse for player and keyboard for dog. It could possibly alleviate possible frustrations of pressing the wrong button if the two input schemes are more different.
I noticed that the dog keeps going while the character is of a tighter control. Awesome! If you could nail a mechanism that there's something only the dog can do but the character can't and vice versa, it would rise to a new level.