I recommend placing a thin insulating sheet between the chassis and the PCB (loosely fitted around the standoffs is fine) as additional protection against loose conductive items falling under the PCB or PCB flex if dropped. Polyester binder cover overhead, transparency material, etc. is fine.
4mm is fine for a safely and reliably grounded chassis, 3 wire mains lead, power outlet etc. If there's any doubt about this, you need to go to 8mm (reinforced insulation). but you should avoid this situation.