<ul class="product_list">
    <?php foreach (get_the_terms(get_the_ID(), 'productcategory') as $cat) : ?>
    <li class="product-post">
        <img src="<?php echo z_taxonomy_image_url($cat->term_id); ?>" />
        <a href="<?php echo get_term_link($cat->term_id, 'productcategory'); ?>"><?php echo $cat->name; ?></a>
    </li>
    <?php endforeach; ?>
</ul>