The player movement is fine, I'm talking about the camera specifically. Instead of it snapping with the player movement, I think it be cool if it was smoothly following it. Take a look at the very beginning of this video, to see what I mean -
I think I get what you are saying a smooth shift to the player at a given limit when the player gets to a part of the screen. Right now the camera is locked on the player so it has that clamp camera movement because of the clamp player movement.