I want to get the name of the shipping method the user has chosen during checkout. Does anyone know how to retrieve that info?

This will get it to some extent but it is cached: 

```
Mage::getSingleton('checkout/session')->getQuote()->getShippingAddress()->getShippingDescription();

```

When I am on the onestep checkout and I go back to the shipping tab and change the shipping, it is still holding the old shipping method. I need to figure out how to get the current one.