Chemical engineering is mostly about 'plumbing' - pipes, tanks, valves, etc. Fluid dynamics. It's much closer to physics than chemistry most of the time from what I understand.
Chemistry doesn't have the same stereotypical relationship to engineering that physics does.
(This comment is based on what these terms mean in the UK at an undergraduate degree level. I'm an electronics engineer and I know a couple people who studied chemical engineering. If the terms mean something different elsewhere in the world I'd love to know :) )