SO fiddle

Test Fiddle mainly for SO Questions

by Nick Craver

HTML

<link rel="stylesheet" href="http://ajax.googleapis.com/ajax/libs/jqueryui/1.8.4/themes/overcast/jquery-ui.css">
<a href="#" class="menu-arrow" onclick="showMenu('mnu_searches', event, 0, this)">Hover me!</a>

JavaScript

$(function() {
  $("a.menu-arrow").hover(function() {
    $.data(this, "timer", setTimeout($.proxy(function() {
      $(this).click();
    }, this), 2000));
  }, function() {
    clearTimeout($.data(this, "timer"));
  });
});
function showMenu() {
    alert("showMenu function fired");
}