We had this before, the name was used to denote the fact that a film gave a full Chromatic response to the visible colour spectrum. As Thomas say's above from the Greek
It's origin has zero to do with Kodak, Fuji, Agfa and their slide films, instead it goes back to the early 1900's and the first Colour reversal plates Patented in France in 1903 - Autochrome Lumière.
The term "Chrome" was also used for B&W films Wratten & Wainwright's 1907/8 Verichrome (Kodak bought the company 4/5 years later), in the 30's Ilford Selochrome and the term is still in use in the word Panchromatic in Kodak Panchromatic-X, Ilford Pan-chromatic F, Fine Grain Panchromatic 4, and Hypersensitive Panchromatic 5.
With the advent of colour slide films though in the late 30's and 40's the therm chrome was used at the end of a films name just as in Autochrome to denote full colours and became a slang term for transparencies despite Verichrome Pan continuing well into the 1980's or 90's