I don't see the advantage of using it over using other languages
That's probably the best question to ask, I think sometimes there's a lot of false benefits to new/different tools, that while cool, rarely add real value.
My observed (but not measured) benefit was enhanced productivity. That said, I'm not sure how much of that is due to Clojure being a Lisp, or more that I switched from Java/C# which are staticly typed and verbose, to a dynamic language. I don't encounter the issues I do in JavaScript and Python (which I have experience with) as much with Clojure though. Mostly that they get harder and harder to maintain over time. Again, I'm not sure this is because of Lisp, I feel it's more due to Clojure's choice to be a functional language first, with default immutability and managed reference types, as well as its smart choice of abstractions, like open polymorphism using protocols and multi-method and CSP instead of event hell.
The only thing I feel are benefits brought over from Lisp are the interactive REPL workflow, concise notation, code that can be used as an extendable serialization format and configuration format, as well as macros (as double edged sword). Macros have helped me in rare times, to avoid having to write verbose code, but at my work we have very few macros even after 2 years of accumulated code, I think we added 5 or 6 macros only. And I wouldn't want to have more, for the reason you mentioned, we're not looking to use our own custom programming language, and add too many macros and that's what you get. By the way, Clojure chose to not have reader macros, which other Lisps have, and are the ones where you can really go crazy changing the very syntax.
I'd be just as fund of another language that would be functional, immutable, interactive and with smart abstractions. I can live without macros, even though I love a good macro when you need one. I would prefer a syntax with only expressions, not a fan of statements, because you're restricted on where you can use them. And I like concise syntax for having to type less and read less, able to see more at once. I reckon not all Lisps fits this description, so maybe its really not Lisp I should evangelize, but Clojure specifically. Elixir also fits this description, that I know of.
On static vs dynamic type systems, I still don't know. I like types, they feel good to have, but I just don't feel they really help, I think they're a false sense of safety, and they just slow you down. That said, maybe they pay back in the long term maintainance, I'm still unsure though.