Quite a few years ago I built a model of the frigate Hancock, in the "plank-on-hollowed-out-solid" style. It has a carved basswood hull "planked" with styrene strips.
The adhesive I used was good old Revell tube-type cement. The model is now more than thirty years old, and has had to endure at least four changes in residence. None of the planks shows any sign of coming loose.
Revell tube cement isn't on the market any more, but I think Testor's or Ambroid plastic cement would work fine. The idea is that the cement softens the surface of the styrene, and soaks into the wood grain.
There's Gorilla Glue and there's Gorilla Glue. The original Gorilla Glue is an expanding polyurethane that forms an expanding foam when the gluing surface is dampened with water. I used it to build the bench and cabinets in my workshop, but I wouldn't allow it anywhere near a model. The same company makes a CA adhesive that seems to work like any other, and a "wood glue" that I haven't tried yet.
Youth, talent, hard work, and enthusiasm are no match for old age and treachery.