Lisp and Scheme's histories are tightly coupled. I would say Clojure is Scheme-like in its preference for functional programming and immutable data. I think Lisp is as much an imperative and OOP language as it is functional.
It's probably true but I don't think I recall rich hickey mention scheme once. He said he worked in CL .. it's strange because the minimalist aspect are really close to scheme, but really I don't remember him mentionning that. Funny
...and Scheme is a dialect of Lisp. Clojure and Scheme are similar in that they are Lisp-1s. You can look that up too, but it is a rough reference to a count of namespaces.