Often you want to remove something from links section of nodes, best way is to intercept it in template.php and use UNSET on it, for example look here:
function phptemplate_preprocess_node(&$vars, $hook) {
   //drupal_set_message('<pre>' . print_r($vars['node']->links, TRUE . '</pre>')); // print what links are available   unset(
     $vars['node']->links['comment_new_comments']
  );