Therefore, in your question, you could substitute Clojure with functional programming, and the examples in which FP allows you to express thoughts you wouldn't know how to express in for, while and so on -- are plentiful.
I may not be answering your question, but there's a reason for that: the functional programming aspect isn't Clojure's main selling point. It's the other ideas. Software transactional memory, immutability, its emphasis on state and identity, the protocol system, transients, concurrency, transducers, the list goes on.