Clojure, the product (largely) of one person, is more opinionated than CL, the product of a committee. As a result, I find its design to be more cohesive, being oriented around functional programming and a set of core abstractions which play very well together. It has a bit more syntax than CL does out of the box, mostly for collection types.

But the biggest practical difference for many people, once they get their heads around Clojure's functional nature, is Java interop and the JVM. It is idiomatic to use Java classes directly from Clojure, and the library ecosystem is just vast, dwarfing any other lisp's. Deployment as an uberjar is typically a smooth story.

These days I'll reach for Common Lisp for personal projects, simply because of its startup speed and because I like some of the quirks of the language. But if I am going to need a library I know exists in Clojure/Java and is solid, which does happen, Clojure's a no-brainer for me.

Finally, there are a lot more jobs for Clojure than for CL, as far as I can tell.