Return a list of all 'product' taxonomy terms that are applied to.
$product_terms = wp_get_object_terms( $post->ID, 'product' );
if ( ! empty( $product_terms ) ) {
if ( ! is_wp_error( $product_terms ) ) {
echo '<ul>';
foreach( $product_terms as $term ) {
echo '<li><a href="' . get_term_link( $term->slug, 'product' ) . '">' . esc_html( $term->name ) . '</a></li>';
}
echo '</ul>';
}
}