Yes grounding on the chassis does work, but it's not a continuous contact, all you need to do is walk a few paces or, even worse, roll your chair around if it's on roller's and wher-hay 15kv of static suddenly appears. If you're really conscientious it'd be ok, but I'm not. Also requires a grounded supply to your case (some aren't)
Look at the size of that thing!
Look at the size of that thing!