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$(function () {
  var parent = $('#shuffle');
  var children = parent.children();
  var number = children.length;

  children.each(function () {
    children.eq(Math.floor(Math.random() * number)).prependTo(parent);
  });
});

<ul id="shuffle">
  <li><a href="1">1</a></li>
  <li><a href="2">2</a></li>
  <li><a href="3">3</a></li>
  <li><a href="4">4</a></li>
  <li><a href="5">5</a></li>
  <li><a href="6">6</a></li>
  <li><a href="7">7</a></li>
  <li><a href="8">8</a></li>
</ul>