<?php
// Get a list of terms for this post's custom taxonomy.
$project_cats = get_the_terms($post->ID, 'TAXONOMY_NAME');
// Renumber array.
$project_cats = array_values($project_cats);
for($cat_count=0; $cat_count<count($project_cats); $cat_count++) {
// Each array item is an object. Display its 'name' value.
echo $project_cats[$cat_count]->name;
// If there is more than one term, comma separate them.
if ($cat_count<count($project_cats)-1){
echo ', ';
}
}
?>