How to detect DIV's dimension changed?

A new standard for this is the Resize Observer api, available in Chrome 64.

function outputsize() {
 width.value = textbox.offsetWidth
 height.value = textbox.offsetHeight
}
outputsize()

new ResizeObserver(outputsize).observe(textbox)

Width: <output id="width">0</output><br>
Height: <output id="height">0</output><br>
<textarea id="textbox">Resize me</textarea><br>

Resize Observer

Spec: https://wicg.github.io/ResizeObserver

Polyfills: https://github.com/WICG/ResizeObserver/issues/3

Firefox Issue: https://bugzil.la/1272409

Safari Issue: http://wkb.ug/157743

Current Support: http://caniuse.com/#feat=resizeobserver

There is a very efficient method to determine if a element's size has been changed.

http://marcj.github.io/css-element-queries/

This library has a class ResizeSensor which can be used for resize detection.
It uses an event-based approach, so it's damn fast and doesn't waste CPU time.

Example:

new ResizeSensor(jQuery('#divId'), function(){ 
    console.log('content dimension changed');
});

Please do not use the jQuery onresize plugin as it uses setTimeout() in combination with reading the DOM clientHeight/clientWidth properties in a loop to check for changes.
This is incredible slow and inaccurate since it causes layout thrashing.

Disclosure: I am directly associated with this library.

Long term, you will be able to use the ResizeObserver.

new ResizeObserver(callback).observe(element);

Unfortunately it is not currently supported by default in many browsers.

In the mean time, you can use function like the following. Since, the majority of element size changes will come from the window resizing or from changing something in the DOM. You can listen to window resizing with the window's resize event and you can listen to DOM changes using MutationObserver.

Here's an example of a function that will call you back when the size of the provided element changes as a result of either of those events:

var onResize = function(element, callback) {
  if (!onResize.watchedElementData) {
    // First time we are called, create a list of watched elements
    // and hook up the event listeners.
    onResize.watchedElementData = [];

    var checkForChanges = function() {
      onResize.watchedElementData.forEach(function(data) {
        if (data.element.offsetWidth !== data.offsetWidth ||
            data.element.offsetHeight !== data.offsetHeight) {
          data.offsetWidth = data.element.offsetWidth;
          data.offsetHeight = data.element.offsetHeight;
          data.callback();
        }
      });
    };

    // Listen to the window's size changes
    window.addEventListener('resize', checkForChanges);

    // Listen to changes on the elements in the page that affect layout 
    var observer = new MutationObserver(checkForChanges);
    observer.observe(document.body, { 
      attributes: true,
      childList: true,
      characterData: true,
      subtree: true 
    });
  }

  // Save the element we are watching
  onResize.watchedElementData.push({
    element: element,
    offsetWidth: element.offsetWidth,
    offsetHeight: element.offsetHeight,
    callback: callback
  });
};