Displaying tags associated with posts in Custom Post Type

You want to look into the_terms or its big brother get_the_terms. It’s how you display custom taxonomies on the front end — similar to the_category or the_tags.

Example:

<?php
// somewhere in a template file, inside the loop
the_terms(
    $post->ID, // object ID
    'camps_tag', // your custom taxonomy
    '<p><strong>Tags: </strong></p>', // before the list
    ', ', // between list items
    '</p>' // after the list
);