Nice wire wrap board.
I would be tempted to hang that board on my wall as a work of art.
Some of these types of boards the pins are just pushed into place on the board,through holes in the board that hold the pins tightly in place, and the pins can be punched punched or pull out of the board fairly easily. with some electricians diagonal wire cutters or some other tool to pull the pins out of the board (using the cutter to grab the pins, and using the angle of the tool as a fulcrum to the pin loose like a wedge or seesaw, (harder for me to explain than it is to do).
With some types of wire wrap boards this could be done with most of the wire still attached to the pins cutting some of the wire as needed.
You could cut the wire and unwrap it from the pins if you choose to process wire and pins separately.
A knife can be used to easily cut the wire, using the knife sliding it under the wire down a row of pins, using the board as a wedge lifting the handle of the knife and cutting the wire between the row of pins, or using some other tool to cut the wires like a good pair of wire cutters...
There are many ways to tackle a circuit board, depending on the board and how it is made, just a few examples of other types of boards, like shearing off the pins with a scraper blade in a sawzaw with a scraper blade https://www.google.com/search?q=sawzall+with+scraper+blade&source=lnms&tbm=isch&sa=X&ei=u6-IU8fnOoXsoATi-4K4CA&ved=0CAgQ_AUoAw&biw=1024&bih=607, a heat gun, or other method to melt solder, as components are pulled or knocked loose from the board...
