Вот это помогло:
//Returns All Term Items for "my_taxonomy"
$term_list = wp_get_post_terms($post->ID, 'my_taxonomy', array("fields" => "all"));
print_r($term_list);
//Returns Array of Term Names for "my_taxonomy"
$term_list = wp_get_post_terms($post->ID, 'my_taxonomy', array("fields" => "names"));
print_r($term_list);
//Returns Array of Term ID's for "my_taxonomy"
$term_list = wp_get_post_terms($post->ID, 'my_taxonomy', array("fields" => "ids"));
print_r($term_list);
//Echo a single value - $term_list is an array of objects. You must select one of the
// array entries before you can reference its properties (fields).
$term_list = wp_get_post_terms($post->ID, 'my_taxonomy', array("fields" => "all"));
echo $term_list[0]->description ;
//Do something if a specific array value exists within a post
$term_list = wp_get_post_terms($post->ID, 'product_features', array("fields" => "all"));
foreach($term_list as $term_single) {
echo $term_single->slug; //do something here
}