I have glued a series of box joints with Titebond III and Titebond Extend and have clamped the assemblies. I typically let the boxes sit over night (18-24 hours) before unclamping and sanding the box joint flush.
Reading the glue bottle, the instructions say to leave clamped for 30-45 minutes and not to stress the joint for 24 hours. Reading the Titebond website it clarifies unstressed joints should be clamped for 30-60 minutes and a stressed joint, e.g. bent laminations, clamped for 24 hours.
I find myself short of time and need a more rapid turn on the clamps, but not at the risk of ruining a joint.
I assume a box joint is an unstressed joint, so a few hours clamp time should be workable, with perhaps waiting 24 hours to sand.
I would love to get some feedback on what the community uses for reasonable clamp and sanding times after glueing.