It does look a lot like Chippendale, but this is definitely cut, not pressed. It's hard to tell whether it's crystal because it's so thick, but I imagine it is. I've never actually measured a piece of glass for its relative density, but maybe this is a good time to try!
A lot of American companies made pressed glass in a paneled patterns like this (we call the style "colonial" for some reason), however Chippendale was a particular pattern made by Ohio Flint, Jefferson, and Central before it was sold to you Brits! While in the US, it was made by all three using a particular glass formula, patented "Krys-tol."