Other people's attempts to answer your question seem to have not done what you're looking for, so I'm going to try to be more specific.
First and foremost, Clojure is a Lisp. Many other people more qualified to describe the benefits of Lisps have done so, so if you're looking to be convinced about why that aspect of the language is valuable, go and read what they've written. Looking at Clojure and ignoring the Lisp-related arguments is a bit silly.
It's dynamically typed, which sets it apart from the ML family of languages (SML, OCaml, Haskell, F#, etc). It has immutable data structures, which sets it apart from some of the elements of ML-like languages. It's eager, which sets it apart from Haskell (although Tyr42 rightly points out that many of its sequence operations are lazy). It has good support for multi-processor concurrency, unlike OCaml, because it has STM, and so doesn't have the problem of a global lock.
It's functional, and its primary programming style is functional, and it has immutable data structures, which sets it apart from Ruby, Python, Go, and to some extent JS. It's higher-level than Go/C++/C. It doesn't rely on callbacks for absolutely everything, like JS does. It's not object-oriented, which sets it apart from Ruby/Python/JS. It's a new language, which means it doesn't have the many accumulated years of cruft that Ruby/Python have, and it's well-designed, which means it doesn't have the many, many problems JS has as a language. It has multi-processor concurrency support that Ruby/Python/JS don't have.
Compared to other Lisps, it's a very practical language. It has native syntax support for vectors and hash tables. It's built on the JVM, which gives access to a lot of existing tools and libraries.
Well, most of it's sequences are lazy. map, take, ect are all lazy. Which is awesome because they are composable (at least, to me, coming from a Haskell background).
First and foremost, Clojure is a Lisp. Many other people more qualified to describe the benefits of Lisps have done so, so if you're looking to be convinced about why that aspect of the language is valuable, go and read what they've written. Looking at Clojure and ignoring the Lisp-related arguments is a bit silly.
It's dynamically typed, which sets it apart from the ML family of languages (SML, OCaml, Haskell, F#, etc). It has immutable data structures, which sets it apart from some of the elements of ML-like languages. It's eager, which sets it apart from Haskell (although Tyr42 rightly points out that many of its sequence operations are lazy). It has good support for multi-processor concurrency, unlike OCaml, because it has STM, and so doesn't have the problem of a global lock.
It's functional, and its primary programming style is functional, and it has immutable data structures, which sets it apart from Ruby, Python, Go, and to some extent JS. It's higher-level than Go/C++/C. It doesn't rely on callbacks for absolutely everything, like JS does. It's not object-oriented, which sets it apart from Ruby/Python/JS. It's a new language, which means it doesn't have the many accumulated years of cruft that Ruby/Python have, and it's well-designed, which means it doesn't have the many, many problems JS has as a language. It has multi-processor concurrency support that Ruby/Python/JS don't have.
Compared to other Lisps, it's a very practical language. It has native syntax support for vectors and hash tables. It's built on the JVM, which gives access to a lot of existing tools and libraries.