To keep the date/time text, you have to do minor modification in comments.php just add call back argument in wp_list_comments function.
<?php
wp_list_comments( array(
'callback' => 'custom_format_comment_listing'
) );
?>
Then add Following code in your functions.php file. you can modification other html as per your design.
<?php
function custom_format_comment_listing($comment, $args, $depth) {
$GLOBALS['comment'] = $comment; ?>
<li <?php comment_class(); ?> id="li-comment-<?php comment_ID() ?>">
<div id="comment-<?php comment_ID(); ?>">
<div class="comment-author">
<?php echo get_avatar( $comment, 56 ); ?>
<?php printf(__('<div class="fn">%s</div> <span class="says">says:</span>'), get_comment_author()) ?>
</div>
<div class="comment-moderation">
<?php if ($comment->comment_approved == '0') : ?>
<p><?php _e('Your comment is awaiting moderation.') ?></p>
<?php endif; ?>
</div>
<div class="comment-meta commentmetadata">
<p ><?php printf(__('%1$s at %2$s'), get_comment_date('j F, Y'), get_comment_time()) ?><?php edit_comment_link(__('(Edit)'),' ','') ?></p>
</div>
<div class="user-comment">
<?php comment_text() ?>
</div>
<div class="reply">
<?php comment_reply_link(array_merge( $args, array('depth' => $depth, 'max_depth' => $args['max_depth']))) ?>
</div>
</div>
<?php }
?>
Let me know if this works for you!