How to serve updatable Javascript files from a cdn

So here is the problematic.

I work for a company that generate customizable javascript files for each clients. Each client has to include the script on their product pages. The client can modify the configuration of the script at anytime.

What we are doing now is that we are managing all that internally but i was wondering if it was possible to serve those file from a cdn knowing that we must be able to modifify the files on the cdn when a client modify his configuration, and that the changes must take effect immediately.