/**
 * Implements hook_menu_link_update().
 */
function {{ machine_name }}_menu_link_update($link) {
  // If the parent menu has changed, update our record.
  $menu_name = db_query("SELECT menu_name FROM {menu_example} WHERE mlid = :mlid", array(':mlid' => $link['mlid']))->fetchField();
  if ($menu_name != $link['menu_name']) {
    db_update('menu_example')
      ->fields(array('menu_name' => $link['menu_name']))
      ->condition('mlid', $link['mlid'])
      ->execute();
  }
}