An antistatic wrist band will cost you less than £5.00, for the sake of being sure I am not damaging a £300.00 graphics card, I think it’s worth it.
Also, on the issue of using metal necklaces, this is very dangerous; all antistatic wrist straps have a resistor built in to them, from memory its 1 meg-ohm. This allows the static to dissipate with out the user being fried in the eventuality of an earth fault. As a rule I will work on my computer with it plugged in, but turned off at the wall, this allows an earth/ground connection with no risk of electrocution.