One of the more obvious uses for cloud computing is DRP or BCM solutions.
However, one must consider the pros and cons of using cloud computing for such purposes. The good is that cloud computing makes DRP solutions a commodity. Unlimited computing resources are available with zero setup with an attractive payment model.
The less good is that the availability of the cloud computing providers affects the availability of your DRP solution (I think this is the case with every DRP vendor) . There are many aspects to consider and you can also read many articles about the issue.
However, if you require an IT infrastructure that is scalable, available, reliable and the service level that vendors such as Amazon and Google are providing is sufficient in your eyes, cloud computing is definitely an attractive DRP solution alternative.