Groovy adds each() and a number of other methods to java.lang.Object. I can't figure out how to use the Groovy metaclass to dynamically replace the default each() on a Java class.

I can see how to add new methods:

MyJavaClass.metaClass.myNewMethod = { closure -> /* custom logic */ }
new MyJavaClass().myNewMethod { item -> println item }  // runs custom logic

But it seems the same approach doesn't work when overriding methods:

MyJavaClass.metaClass.each = { closure -> /* custom logic */ }
new MyJavaClass().each { item -> println item }  // runs Object.each()

What am I doing wrong? How can I dynamically override each() in Groovy?