We have an example of cloud-based CDF embedding on the CDF website here:

http://www.wolfram.com/cdf/adopting-cdf/deploying-cdf/web-delivery-cloud.html

along with a pointer to documentation on deploying interactive to the cloud.

From the cloud, use Deploy > Embeddable Content on your selection to get an iframe code object that can be inserted into any HTML. More updates on CDF in the cloud will be coming in the months ahead, so stay tuned.

Indeed, it's inevitable that there is some lag in operating sliders and other such interfaces via cloud-based services. It's completely out of our control that the optimal experience via a plugin will no longer be possible -- browser developers are simply taking that option away across the board, though we expect support to hold out through this year at the 32-bit level in the browsers we continue to list on the player download and CDF sites.

There are some possible bugs causing jumpiness you might be seeing in current slider behavior on the cloud, but my understanding is that will pass in one of the coming cloud updates (which happen on a fairly regular bi-weekly basis). One of the advantages of web-based services is the potential to correct discrete problems faster than through desktop software release cycles...

The "snapping back" is not the jumpiness I was complaining about. It is the latency of the network and/or internet itself. When I move a slider from position A to position B, the corresponding motion in my browser widow is not smooth. In fact, my plot jumps from that corresponding to position A of the slider to that corresponding to position B of the slider. Worse yet in another notebook, a small dot which traces out a closed curve in time, just jumps from one position to another. I suspect that the distance between successive positions is based the round trip time needed for the signal to travel from my computer to the Wolfram Cloud and back.

Is this issue getting attention?

It might be easier if the mountain came to Mohamed - Wolfram should write its own browser - yeah seriously!! There's plenty of kits out there.

We do have the iPad CDF app finally coming together, which was previewed at the tech conference last year and will be in beta in a few weeks. Those interested might be able to get into the beta program, and can reach out via our web contact form:

http://www.wolfram.com/company/contact/general/