{{var order.getShippingDescription()}}

grep '>setShippingDescription' app/code -rsn
app/code/core/Mage/Adminhtml/Model/Sales/Order/Create.php:320:        $this->getQuote()->getShippingAddress()->setShippingDescription($order->getShippingDescription());
app/code/core/Mage/GoogleCheckout/Model/Api/Xml/Callback.php:696:                ->setShippingDescription($shipping['shipping-name']['VALUE']);
app/code/core/Mage/Sales/Model/Quote/Address/Total/Shipping.php:169:                    $address->setShippingDescription(trim($shippingDescription, ' -'));
app/code/core/Mage/Sales/Model/Quote/Address.php:824:                ->setShippingDescription('');