Earlier quoted context omitted.
Clojure also teaches you functional programming, where-as CL only teaches you the LISP beauty. Clojure teaches you both Lisp and Fp. So the FP part should still be worth it even though you got the Lisp part from CL.
How does fp in clojure differ from fp on common lisp?
Furthermore, the data structures in clojure also have interfaces that make it easier to swap out which data structure you're using while still keeping whatever map/filter/reduce algorithm implementation you're sending it through.
Common lisp, on the other hand, has setf. Which more or lets you mutate anything. You certainly can code in an FP style in common lisp, but it doesn't restrict you in any meaningful way. Not a problem if you control the entire codebase, but when gluing components together this can be a source of friction.