You have to save the cloth object after it is processed in the cloth room.  Delete the cloth object and then re-import the cloth object and fit to the figure or whatever it was made for.

It is a good idea at this point to save the cloth object to the "Pose/clothing (or Prop) library.  You can then re-load the cloth anytime and it will snap to the figure.

Save the scene as a *.pz3 file and then when you import the scene into carrara, the cloth object should still be a cloth object and not a plane.

Hope this helps,
Pappy