Well, you play with the View specifically ActionMenuView so try this, copy the codes into your Activity
//we declare our objects globally
Toolbar tool;  ActionMenuView amv;
then override onPrepareOptionsMenu, what you decide to return is your choice
@Override
public boolean onPrepareOptionsMenu(Menu menu) {
    //to be safe you can check if children are greater than 1
    amv = (ActionMenuView) tool.getChildAt(1);//hope you've met amv
    return true;
}
now this is the crucial part- whenever you want to animate the "3 verticall dots" -(your overflow) you have to check visible children-(i.e if you want to) actually forget that
amv.getChildAt(amv.getChildCount()-1).startAnimation(AnimationUtils.loadAnimation(
        MainActivity.this,R.anim.abc_fade_in));
that gives you a basic fade-in animation- you can pimp your ride now.
EDIT 1:
The above code made assumptions that you have nothing added to your Toolbar aside from just inflating the menu in onCreateOptionsMenu. 
Suppose you have a complex ToolBar use this rather for your initialisation
@Override
public boolean onPrepareOptionsMenu(Menu menu) {
    for(int i =0; i < tool.getChildCount(); ++i){
        if(tool.getChildAt(i).getClass().getSimpleName().equals("ActionMenuView")){
            amv = (ActionMenuView) tool.getChildAt(i);
            break;
        }
    }
    return true;
}
Also where you call your initialisation of amv View can be in either onCreateOptionsMenu or onPrepareOptionsMenu, i chose onPrepareOptionsMenu because i wanted readability
Hope it helps