clojure.org does NOT state that it runs only on Java 8 or 11.
Minimum runtime dependency: Java 8
Supported: LTS (long term support) releases, currently Java 8 and Java 11
Others: likely work, but not officially supported
Clojure runs on all versions of Java 8 or higher. We test and officially support Clojure on Java Long Term Support (LTS) releases such as Java 8 or 11 (or coming out today, Java 17). I know of no known issue on any other version of Java 8+, but they are not officially supported.
Clojure works great with Java 16.0.1 - if you want to use that, go for it.