I love Common Lisp (and I miss its frequent discussions on HN a decade ago). That trend seems to be resurfacing now.
The main advantage of Common Lisp is standardization. There's very few languages that can run old code across so many platforms and implementations. But that also holds the language back a bit in terms of progress. Libraries feel like they have been falling a bit behind. It's also one of the few practical languages that has a great multi-paradigm support.
The main advantage of Clojure is implementing lots of modern functional programming ideas. It's main disadvantage is being excessively tied to the JVM. That allowed initial rapid growth, but it brings some side-effects such as ugly stack traces. Aside from JavaScript, there are no alternative platforms.
Racket will now run on top of Chez Scheme. That's another major Lisp worth considering.
Lastly, Julia shows some of the multiple dispatch ideas in CLOS can lead to really efficient code generation when paired with LLVM or a similar backend.
I wish someone put all these interesting ideas in a blender and implemented them on top of Common Lisp, or as a new language. Something functional, with great typing (like Shen), static analysis and an LLVM-like backend are really worth pursuing. We need better languages to address modern challenges, like merging symbolic and probabilistic AI.