The result of that design is that Clojure shares literally zero lines of code with other Lisps: Autolisp, ISLisp, Emacs Lisp, Standard Lisp, Common Lisp. Many basic concepts are absent, renamed or redesigned ('Atom', 'Linked List', ...). Clojure is fully incompatible to any other language with Lisp in its name. Programs have to be re-architectured, because the concepts are different: no TCO, but 'functional', different approach about side effects (-> avoid), lazy persistent datastructure at its core, different idea of OOP (-> avoid), Lisp infrastructure (-> avoid), ...
There is no software I know of, which is shared. The number of tools shared is 'one': GNU Emacs. It's a different community with different goals, different software, different applications, different libraries.
Just think of it: zero lines of code is shared.
My problem with that broader idea of 'Lisp': it is fully vague and it has no practical implications. Sometimes it's only a marketing slogan. It has the same vague meaning like 'object-oriented' or 'Functional'. There is no consensus what OOP in a broad sense means and how it should be defined. 'Lisp' is just as useless.
It does not mean that Clojure is useless or worse than Lisp. Totally not. Clojure has new ideas on data structures put to work and enabled some very productive people enjoying their tools. They are doing wonderful stuff.