Clojure has a different strategy, it creates a new time, REPL time. So you can test your types at REPL time. Not when it compiles, but a little before it runs. It won't prove what you don't try though. So in practice, its using a statistical model where the programmer is the heuristic. You best guess the edge cases, and try them at REPL time. This will not catch all static errors, but will also catch some runtime errors. So it creates a disjoint set of errors that it catches. This is a trade off. Static types and REPL time will catch some of the same things, but also different errors.
Now both adding static type info, and doing REPL time testing comes to a cost to the programmer. Its one more thing we have to do. Some like me, fond more value most often at the REPL, it helps me explore and innovate my code, and is just more fun to me. I also prefer the kind of bugs it catches. Others think the opposite.
What most people seem to agree on though, is that doing both is way too much effort. That's why you don't have REPL time be a popular activity in Haskell, or core.typed be popular in Clojure.