The last few months I\'ve been using Emacs extensively as my main development environment and I\'ve now come to a point at which I\'d like to learn it\'s own Emacs Lisp to w
I recommend that you start with EmacsLisp, as it will be more immediately useful as already stated.
And as soon as you get a good grasp on the peculiarities of the language, you could start usingeieio.
To quote the emacswiki, it is An implementation of the CommonLisp object orientation standard (CLOS) in EmacsLisp.
Best of both worlds !