Bought a folding table (Todeco brand) a few weeks ago, and discovered it was not possible to attach a bracket clamp for a lamp since the folding mechanism is on the way (only the front of the table is clear). So, I made a couple of really basic designs (my first) to allow attaching the clamp over the folding pieces, one for the back of the table, another for the sides.

Attaching pictures of the table I use, also of the bracket clamp for which the adapter is made, for reference

Works for me, hope it can help someone else.