I like the sense of humor of the game! And the game has all sorts of cool details, like the shadows that the player casts and the way the head moves to the sides. The controls get some time to get used to them, but I like the idea, and how it fits the overall theme! The art style is also good, and the animals that roam on the screen are also a cool addition.
One quick thought: have you considered letting the player control the swing with the left and right arrow keys?