Automatically cycle through full-page nodes
I tried to implement this feature and I had almost achieved it. To try-out, click any preview button in this page, you can see the content cycling through nodes.
I suppose you want to cycle through a list of nodes generated by a View.
Procedure:
I used Views navigation module to preserve the list of nodes generated in a View. It also preserves the order of those nodes in cache.
In script:
(function ($) {
  Drupal.behaviors.module = {
    attach: function (context, settings) {

      //Posts the current position of node and Views-navigation cache ID - on clicking 'next' button
      $(&quot;body&quot;, context).on(&quot;click&quot;, &quot;.next&quot;, function() {
        var pos = $(this).attr('data-pos');
        var cid = $(this).attr('data-cid');
        $.ajax({
          type: 'POST',
          url: '/navigation',
          dataType: 'json',
          data: 'pos='+pos+'&amp;cid='+cid+'&amp;dir='+dir+'',
          success: DoWhateverWithNextNode
        });
      });

    },
  };
})(jQuery);

In module:
//Menu callback for 'navigation'
function get_next_node() {
  if($pos = $_POST['pos']) {
    module_load_include('inc', 'views_navigation', 'views_navigation');

    $result = views_navigation_get_result($_POST['cid']);
    $max_index = count($result) - 1;
    $pos = ($pos &gt; $max_index) ? 0 : (($pos &lt; 0) ? $max_index : $pos);

    if ($nid = $result[$pos]) {
      $next_node = node_load($nid);
      return drupal_json_output($next_node);
    }
  }
}

In DoWhateverWithNextNode(data), you are required to increment 'data-pos' for '.next' element by 1. So that you can cycle through nodes.
P.S. This code may not be a working version. I just provided you an overview of my implementation.