Not made with pie dough, but the concept is the same as cinnamon rolls... vanilla cookie dough rolled out, sprinkled with cinn/sugar and rolled back up into a log. The log is then wrapped up and frozen. I froze mine overnight, but you could certainly freeze it for a longer period of time... or just a couple of hours might be ok too.
The log needs to be quite firm so that when you slice it- it's firm enough that it will maintain its round shape. Half inch cuts will produce about 2 dozen cookies.
The icing was delicious and did harden if made as directed, but I didn't like that it took away from the attractive, swirly nature of the cookie. I tried to thin it out a bit with additional whipping cream, but then the icing wouldn't harden. I'd make these again in a heartbeat, but would choose to drizzle 
I've made a lot of cookies. I've sampled a lot of cookies. And this is one of the better ones. We loved these cookies. When the mood for cinnamon rolls strikes...