Check with jquery if div has overflowing elements

You actually don’t need any jQuery to check if there is an overflow happening or not. Using element.offsetHeight, element.offsetWidth , element.scrollHeight and element.scrollWidth you can determine if your element have content bigger than it’s size:

if (element.offsetHeight < element.scrollHeight ||
    element.offsetWidth < element.scrollWidth) {
    // your element have overflow
} else {
    // your element doesn't have overflow
}

See example in action: Fiddle

But if you want to know what element inside your element is visible or not then you need to do more calculation. There is three states for a child element in terms of visibility:

If you want to count semi-visible items it would be the script you need:

var invisibleItems = [];
for(var i=0; i<element.childElementCount; i++){
  if (element.children[i].offsetTop + element.children[i].offsetHeight >
      element.offsetTop + element.offsetHeight ||
      element.children[i].offsetLeft + element.children[i].offsetWidth >
      element.offsetLeft + element.offsetWidth ){

        invisibleItems.push(element.children[i]);
    }

}

And if you don’t want to count semi-visible you can calculate with a little difference.