This has got the style, man. And the mechanic is a nice take on an incremental.
My arms hurts.
Really liked the art style and the concept. It used the theme well.
The controls were a bit stiff, and I think a lot of it had to do with a complete lack of air control (which is odd for a bird). A lot of the platforming was made hard by needing to move a bit before jumping or you'll not be able to move, but if you move too much you'll just bounce off what you're trying to jump over.
The death animation was a bit long, especially when your life is so short. It felt like I spent more time waiting for the death animation than playing.
That said, I think you might have a nice little puzzle platformer with some polish.