This is my solution for salvaging thin stock. I ran into a bunch of imperfections in the 8/4 Jatoba I was working with which would have rendered useless nearly 3 feet of 8/4 x 5" stock. After cutting away the imperfections, I ended up with 6 pieces that were 3 - 4" wide x 15.5" long. The pieces are just over 1/4" thick and trying to clamp them with traditional methods would be impossible. So, I spent the day making a clamping board. This consist of 24" x 24" x 1.5" MDF (two 3/4" pieces glued together) with formica top and a plywood bottom to reinforce the stiffness of the MDF. I used a 1 3/8 forstner bit for the holes and 1 3/8" poplar dowel for the stops. The wedges are cut from hickory with a 5 degree angle. The gluing cauls are fabricated from oak but you could just as easily use pine. The clamping cauls have one perfectly straight edge and the other edge is curved. Youtube has several videos showing how to use the clamping board and how to fabricate the cauls.
The surface of the formica has a thin coat of paste wax applied.
You use this device by applying the glue to the edges of your thin stock, pressing them together and then use the wedges above and below the cauls to apply pressure. You can then use a piece of scrap lumber to protect the surface of your work piece while you tap the pieces flush with each other on the surface and along the edges
The multiple holes in the clamping board are to make it easy to vary the width of the panel being glued. Using multiple wedges on top allow you to easily and quickly adjust for different widths. The final picture is the finished panel as it came off the clamping board - no planing nor sanding.
I have to say, after trying to do this with traditional clamps, this method makes gluing thin pieces a breeze. The flat surface of the clamping board keeps everyting registered as you clamp.