Well, that’s a bummer. There may be a couple things you can do to help with that. The first (and I’m sure you do this already) is to make sure you get a good knife wall at the base of the recess. For the sides of the recess, you can saw with the outside of the workpiece towards you (assuming you’re using Western saws that cut on the push stroke). That way any chip-out would be on the inside surface. If that’s still unacceptable, maybe you could try sawing across the top and then dropping your hand to cut at an angle, not cutting any of the back surface. Then turn the board around and saw the other direction to use the push stroke.
I’m just brainstorming here. Seems like a lot of work. But maybe that could help or you could use knife walls on the sides of the recess as well.
Matt, Northern California - Started a blog in 2016: http://tinyshopww.blogspot.com/
I decided to cut all the pins and tails off. My ends for the tail boards were not even anyway. I just finished evening them up and now I need to do the same for the pin boards. Looks like I’ll be chopping and sawing dovetails late after dinner. So be it. What would I do anyway? Probably channel surfing and wasting time.