I have been really impressed with the new launched AutoCAD Web App that is included with the AutoCAD 2019 and AutoCAD LT 2019 subscription. I have been using it today on a bunch of drawings to kick the tires. There is nothing to download or install, just launch your web browser and go to https://web.autocad.com/ and log in.
but you can create new drawings using the same AutoCAD DNA as the desktop version. The AutoCAD Web App isn't full desktop AutoCAD on the cloud, but it is a definite step in that direction.