I've heard that thin veneers with water-based glues are a problem, because the water expands the veneer, then on drying it can check or curl. One can, however, apply a thin Titebond glue layer, to each of the two surfaces, let it all dry, then iron it down like a hotmelt glue.
I've personally found contact cement very effective and the long working time means you needn't (cannot, really) rush.