Not for the subscriptions to Creative Cloud which single users or teams use.
But perhaps for businesses. You might request a consultation here:
But be aware that Creative Cloud will not store anything in the Cloud if you don't want to do it. The Cloud is only requiring all program to “call” if the license is still active, nothing else will be needed to do in the cloud.
There are some other benefits like Fonts or mobile apps which will connect via the cloud, but you need not to use them.
I think I've heard that the Enterpise version makes it easier to remove or hide some of those features.
Thank you both for your responses. I have looked over the information in the links provided and spoken to one of the managers involved in the request. For now we will not be deploying InDesign to users due to Cloud concerns. I will forward the information in regards to your Cloud programs for enterprise to my management for review. Thank you.