What's happening? How are you trying to download it? What operating system?
I used this link: https://creative.adobe.com/products/lightroom
I get a message that it needs an application and I click on Creative Cloud app to download. The CC app opens and Lightroom is not on the list of apps to install or try. Photoshop was on the app list, Lightroom is not.
I have Windows 7 premium 64 bit
The CC FAQ
So you have the Creative cloud desktop installed? And it looks like this (but maybe with less in it)
And you don't see Lightroom? You could try making sure you have the latest version. Or simply restarting your computer.
When I click on update there are no updates. Yes, it looks like the one you show but there is no Lightroom option. I'll try restarting the computer.
After two restarts I got the app in Creative Cloud. I have it installed. Thanks for your help.