As there is not much options to manipulate teasers and especially taxonomies in drupal you should use this code in template.php
<?php
 function yourthemename_print_terms($node, $vid = NULL, $ordered_list = TRUE) {
      $vocabularies = taxonomy_get_vocabularies();
      if ($ordered_list) $output .= '<ul>'; //checks to see if you want an ordered list
      if ($vid) { //checks to see if you've passed a number with vid, prints just that vid
         $output = '<div class="tags-'. $vid . '">';
         foreach($vocabularies as $vocabulary) {
          if ($vocabulary->vid == $vid) {
            $terms = taxonomy_node_get_terms_by_vocabulary($node, $vocabulary->vid);
            if ($terms) {
              $links = array();
              $output .= '<span class="only-vocabulary-'. $vocabulary->vid . '">';
              if ($ordered_list) $output .= '<li class="vocabulary-'. $vocabulary->vid . '">' . $vocabulary->name . ': ';
              foreach ($terms as $term) {
                $links[] = '<span class="term-' . $term->tid . '">' . l($term->name, taxonomy_term_path($term), array('rel' => 'tag', 'title' => strip_tags($term->description))) .'</span>';
              }
              $output .= implode(', ', $links);
              if ($ordered_list) $output .= '</li>';
              $output .= '</span>';
            }
          }
        }
      }
      else {
        $output = '<div class="tags">';
        foreach($vocabularies as $vocabulary) {
          if ($vocabularies) {
            $terms = taxonomy_node_get_terms_by_vocabulary($node, $vocabulary->vid);
            if ($terms) {
              $links = array();
              $output .= '<ul class="vocabulary-'. $vocabulary->vid . '">';
              if ($ordered_list) $output .= '<li class="vocabulary-'. $vocabulary->vid . '">' . $vocabulary->name . ': ';
              foreach ($terms as $term) {
                $links[] = '<span class="term-' . $term->tid . '">' . l($term->name, taxonomy_term_path($term), array('rel' => 'tag', 'title' => strip_tags($term->description))) .'</span>';
              }
              $output .= implode(', ', $links);
              if ($ordered_list) $output .= '</li>';
              $output .= '</ul>';
            }
          }
        }
      }
      if ($ordered_list) $output .= '</ul>';
      $output .= '</div>';
      return $output;
 }
 ?>and then call it with
print yourthemename_print_terms($node, $vid = 3, $unordered_list = TRUE); more on this in link below