Output

Overridden callMethods
Default callMethods
Overridden callMethods2

Expected:
Overridden callMethods
Overridden callMethods
Overridden callMethods2

run.clj

(let [obj
      (proxy [example.Test] []
        (callMethods
          ([] (println "Overridden call methods"))
          ([obj] (proxy-super callMethods obj)))
        (callMethods2
          ([] (println "Overridden call methods2"))))]
  (.callMethods obj)
  (.callMethods obj :test))

Test.java

package example;

public abstract class Test {

    public void callMethods(Object obj){
        callMethods();
        callMethods2();
    }

    public void callMethods() {
        System.out.println("Default callMethods");
    }

    public void callMethods2() {
        System.out.println("Default callMethods2");
    }

}