I would use CL without even thinking about it (it's just better)... but if you're going to be doing web you're going to find more articles and libraries for Clojure. So I'd recommend you go with that.

Curious: why would you choose CL over Clojure concretely? What makes you want it more?

In practice I find code in CL more difficult to follow than Clojure. Clojure macros like left-to-right reading, more generic functions and the maps withou confusion between quotes or multiple representations of maps and a few other more regularities in syntax plus the use of not only parenthesis make it more readable IMHO.

I also see that things like let need let* in CL if you want dependency order, etc.

Let bindings are a vector where the first and from there on every odd-numbered element is a variable name and the second and from there on every even-numbered element is the associated value. I can't understand how anyone could think that's okay. Plus Common Lisp has type declarations baked in (I hate programming without them) and a bunch of other little quality of life things that make programming nice.

Although the my biggest two reasons for liking CL are the condition system and the speed. While it's still slow as molasses compared to C, at least it's performance without any special tweaks is roughly acceptable for software which isn't user-facing.