Add a line like this for each custom field you’d like to display in your template code. You can display multiple custom fields. You may have to comment out the default custom_field_display line.
$lcp_display_output .= $this->get_custom_fields('custom_field_name', $single->ID, 'span', 'class_name');
// you can copy and paste this line, changing custom_field_name for each custom field you'd like to display
// $lcp_display_output .= $this->get_custom_fields($this->params['customfield_display'], $single->ID);
// may have to comment out default custom display to call one specifically
Then you can use the shortcode to call your custom fields from within your page content area in your WP admin.
[catlist customfield_display="custom_field1,custom_field2" customfield_display_name="no"]
Info on shortcodes and creating a custom PHP template for the a specific cat-list are here:
http://wordpress.org/plugins/list-category-posts/other_notes/
Hope that helps.