参考ソース例

<?php
	$taxonomy_name = 'cat'; //※例)タクソノミー名

	$term_id = 111; //※例)親ターム番号

	$termchildren = get_term_children( $term_id, $taxonomy_name );

	foreach ( $termchildren as $child ) :?>

<?php $term = get_term_by( 'id', $child, $taxonomy_name );?>

	<li>
		<a href="<?php echo get_term_link( $child, $taxonomy_name );?>">
			
			<span><?php echo $term->name; //ターム名 ?></span>
			
		</a>
	</li>

<?php endforeach; ?>