What is the definition of a real lisp? AFAIK lisp is just a family of computer languages. Elisp certainly isn't the most powerful or full featured but it still seems to have most of the characteristics.
Something that makes people fight over whether Scheme is a real lisp. Something that makes people fight over whether Dylan is a real lisp.
In short, there really isn't one. Unless you say that all real lisps adhere to the Common Lisp standard, which isn't, actually, a common position to find anyone taking in real life.