Can a JavaScript function return itself?

Can I write a function that returns iteself?

I was reading some description on closures - see Example 6 - where a function was returning a function, so you could call func()(); as valid JavaScript.

So I was wondering could a function return itself in such a way that you could chain it to itself indefinitely like this:

func(arg)(other_arg)()(blah);

Using arguments object, callee or caller?