How does Carbon3D's CLIP technology handle bridges and support material?
On Carbon3D's homepage they show a part that appears to have supports in it. 



Per a conversation with Carbon3D's support they confirm that their slicing software will generate supports based on the overhang angle geometry, and in the case of a buckyball within a buckyball, there would be supports generated to create the buckyball, and to support the interior buckyball joining the two together that would have to be removed in post processing.

Enclosed volumes need to have a drain hole, and you would have to avoid vacuum forming shapes such as an upside down cup in which atmospheric pressure would keep the interior of the cup filled with resin until the reservoir runs out or the vacuum is able to be broken releasing the excess resin. In the case of a cup you would change the orientation. I am not sure how one would handle trying to print a solid sphere with no holes to avoid this condition.