gistfile1.php

// Get the custom field taxonomy selected term ID's
$field_value = get_custom_field("outsourcing_partial_type");

if ( is_array( $field_value ) ) {

    foreach ( $field_value as $selected_value ) {
        $tax           = get_term_by( 'id', (int) $selected_value, "outsourcing_partial_type" );
        // Set the name of the taxonomy an an item in a new array
        $tax_labels[] = $tax->name;
        // Or you could just output it in this for loop
        echo "<li>" . $tax->name . "</li>";
    }

    // $tax_labels is now an array of each term label/caption/name


    // $csv_tax_labels is now a comma separated string of the name ( taxonomyval1, taxonomyval2, taxonomyval3 ... )
    $csv_tax_labels = implode( ', ', $tax_labels );

}