That's pretty typical with Docker, as one of the advantages of containers is having a fixed, known and tested set of dependencies. The Chrome version that's in the container is actually one that people have had success with. In fact, numerous people using non-docker versions have disabled Chrome updates to keep it at the same version that's in the container.
Just for grins, I tried building a fresh version of cc4c (which I've done before), and it wouldn't build either from scratch or attempting to just update and upgrade from the current fancybits image. So there's clearly some work needed for it to be compatible with updated dependencies.