Hi,
I am also using wordpress 3.3. with this widget and for me it worked with small tweaking in add header function in tabbed-widgets.php. Here is my add_header function
function addHeader() {
wp_enqueue_script('jquery-ui-tabs', $this->plugin_path . 'js/jquery-ui-custom.min.js', array('jquery'), false, false);
wp_enqueue_script('jquery-ui-accordion', $this->plugin_path . 'js/jquery-ui-custom.min.js', array('jquery'), false, false);
wp_enqueue_script('jquery-ui-cookie', $this->plugin_path . 'js/jquery-cookie.min.js', array('jquery-ui-accordion'), false, false);
// Add default widgets styles
wp_enqueue_style('tabbed-widgets', $this->plugin_path . 'css/tabbed-widgets.css');
if (get_current_theme() == 'Twenty Ten')
wp_enqueue_style('tabbed-widgets-2010', $this->plugin_path . 'css/twenty-ten.css');
}
Hope it helps