I'm not sure deboning a shirt is a real phrase. But, when I want to take apart a shirt, for the material, I have made some decisions about what is worth the time and what is not. Most of the shirts I have used in quilts, I have cut with specific sizes and shapes in mind, so I don't feel the need to be careful in my initial cutting.
I start by taking the collar off and throwing it away. There is sometimes enough fabric in the collar to put in a string bin, but is generally less than 1 1/2 inches which is my smallest size to keep, so I no longer bother trying to save any.
I put the cuff together and cut it off roughly. I don't save it anymore either.
I make a clip at the top of both button plackets on the front of the shirt and then rip it off. I throw it away as well. I have jars of buttons, so most of the time, I don't bother with them either.
I put the front to back and cut out the sleeve, trying to feel and get it as close to seam to seam as I can. If it's rough, It doesn't bother me. I remove the fronts from the yoke and rip it down the side. Then I take the yoke off the back. I fold each piece separate from one another and store them by color. The yokes and the sleeves are put in the use it anytime bin, while the rest are folded and put away.
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