Here is a link to a a non-trivial Manipulate on the cloud: Celestial Sphere. Unfortunately its response to interactive controls are both slow and unreliable. But it works fine in Mathematica desktop.
Manipulate
Hi Timothy,
Have you considered publishing the notebook on Wolfram Cloud?
Also if your notebook is technical and contains Wolfram Language code, you can create a post on Wolfram Community and embed you notebook in the post. Check the section "Adding Notebook" in the community rules http://wolfr.am/READ-1ST
