I recently bought some prototype shields with the 170 pin breadboards from yourdunio.com in order to simplify working on different projects at the same time. The theory is, if it fits in the breadboard, I can just take off the shield and replace it with another.
I had used the sticky backing to mount the breadboard to the shield. After I had it in place, I wanted to move the position of the breadboard, as I was thinking about possibly soldering a potentiometer and a second button for use in my projects. I noticed the adhesive was really strong, and I used a butter knife to slide underneath and release the glue. Unfortunately the pins in the breadboard are held by that glue layer, and I wound up destroying the breadboard.
I ordered some new breadboards, but in the future, I think I will mount the breadboard on thin plywood or maybe pcb plastic that hasn't been drilled, and use less strong glue to actually mount it to the shield. I might make it a little longer, and drill some holes, and use wire to connect it.