Most of my building is done with PVA, (and if you look around there's some good info on using PVA and aliphatics). I have noticed a couple of things that are probably worth mentioning as an addition to John Craig's points.
When building built up structures like an stab, elevator or flap, the lure is to use Cyano's to hold the ribs in place. If you do, and you have massive splashes of CA everywhere, you can hang your hat on the fact that the PVA will not stick to those CA'd areas. Best to flat sand whatever you've built to remove the excess CA and expose as much pourous material to the pva if you're planning on sheeting whatever you've built.
PVA works great on foam, it doesn't attack it but it will seep into between the beads. The temptation is to slather it on, but you'll add weight for not much gain. Also, when gluing things like leading edge stock to a foam core, make sure that you're clean and tidy with your application. PVA while soft, doesn't sand like balsa, and you can end up with a 'rubbery' section that won't sand. It's like trying to sand foam rubber. Tight joints and no excess minimise this.
I'm not a fan of laminating stuff with PVA. Especially doublers in fuselages. Because PVA is an air-dry glue, you'll have the edges dry, and the core will stay wet for a long time (same with sigment too). Also because it's not fuel proof, you're running the risk of a delamination later on in the aircraft's life.
Oh, that acutally brings me to a final point (I know most of this is common knowledge, but someone may find interest in it). The best thing about using PVA's is it's flexibility. I once built a 3m (114") saiplane, using mostly CA. On a blustery day, we were winching it, and lowe and behold I broke the mainspar. The plane didn't just break, it EXPLODED, as all the brittle CA joints were shocked so much they just broke. I lost the entire wing between the wing joiner at the centre and the polyhedral break! I firmly beleive that if the wing had been built with PVA I may have got more back that just the wing tips.