Also, your response of "add more glue" makes it worse. With CA, there really is such a thing as "to much", and the more glue present, the longer it will take to set. Next time, when the board fall apart, try quickly wiping some glue off, then sticking the parts back together, it might surprise you.

Oh, yeah, like MinnFlyer said, some kicker would fix you right up as well. Be careful though, large amounts of CA kicked off will generate a lot of heat (not enough to set fire to the wood though), and will cause the CA to give off a bunch of nasty fumes in a hurry. (the fumes are always there with CA, but the kicker makes them all go RIGHT NOW, so it's easier to get a face full). Oh, and too much kicker and too much glue can cause a white "popcorn" bubbly, hard as a rock, mess to appear along the seams that is nearly impossible to get off. Not usually a problem, but it could prevent a drawer from going inside a slot for it for example.

For putting together a field box, I'd use slow setting epoxy. Field boxes take all kinds of abuse, and get soaked in fuel eventually, so something that will hold up over the years is a good thing. I think CA is too brittle. I wonder if Goop would work well on a field box, maybe too flexible. Polyurathan glues like probond are amazingly strong on wood, but you have to clamp things together, and it takes a while to set.