You have to install the CC version of Lr on your machine (up to two machines in fact - just like the old "stand-alone" licence) too - so I'm not sure what you're trying to say here.
CC is not a cloud storage solution. Your converted images and catalogue are still physically located wherever you save them, just like in the good old days.
Lr Mobile might do what you're after, but you need a portable Apple i-somethingorother for that.
Thank you, Keith. Let me explain further. I have a Desktop at home and a Surface Pro 3 (laptop) that I use for mobile. I alerady had Lightroom 5.6 on my desktop. I purchased the Adobe CC Photo plan includeing LR and PS so that I could get LR on the laptop too, and get PS on both machines. What I was also hoping to accomplish was the ability to take a shot on the road, do some preliminary work on the shot using LR and/or PS on the laptop and then when I got home, be able to work on the same already edited file on my desktop. So, what would be the process to do this with CC? Thanks.
Lightroom Mobile only works with Apple iOS Devices at the present time. There are a couple of ways to accomplish editing on either computer using smart previews or implementing use of an external hard drive. The creative cloud does not provide the capability to store images in the cloud and then work on them using the regular version of Lightroom. It requires Lightroom mobile. Here are a couple of short videos that show you what Lightroom mobile can do and how to utilize it.
But until Lightroom Mobile is available for other mobile operating systems you won't be able to implement its use. Your standalone Lightroom license entitles you to two installations of Lightroom. The main benefit of the creative cloud for you at this point is to enable you to maintain current versions of Photoshop and Lightroom. And it allows you to use the creative cloud storage to share collections with others. Lightroom Mobile isn't required to access shared images.