I've included two versions of this model... one is a complete loop, and the other is open.  (Hint:  The only difference is that the "open" version is missing one link. )  None of the links touch each other, so the idea here is that--once removed from your build surface--you will have a true 3D-printed chain to secure your 3D-printed King Kong, monster, evil leprechaun, et cetera.  :) Each link of the chain is 2" long and 1" wide, with a 0.25" diameter.  Each link is tilted at a 45° angle, so make sure your printer can perform that task... otherwise, add supports and have fun cleaning it up.  I haven't printed this model yet, since my printer is down for a while... but I'll post images if/when I'm able to print it. This is my first variation of this design, and it has not been tested.  Print at your own risk (of course).  In the future, I plan to add links to this model by using a spiral pattern instead of a simple circle.  I may even add a hook to one end, and perhaps a wall-mount on the other.  (Would make an interesting towel hanger for your bathroom... but your wife won't like it much, unless you print it in pink.)  :) The main image here shows the chain with alternating colors.  If you have a dual-color printer and would like to print it that way, simply ask and I'll add "Color A" and "Color B" STL files here.  

I may also add another version of this model with the links tilted at a lesser angle, if anyone has issues printing the links at 45°. At any rate, I hope you enjoy.  Please share any prints, comments, or suggestions. Thanks! ***UPDATE*** I was finally able to print this model, after repairing my DaVinci 1.0 Pro.  I did not use a raft or any supports, but should have used a raft due to the very small surface area that these chain links have to adhere themselves to the print bed.  I lost several links during the print, but still ended up with a length of chain that is about 21 inches long, and looks pretty nice. I printed this using black RioRand PLA at 200°/50°C with 0.25mm layers,  and15% infill.  Total print time was about 5h:10m.  Definitely use a raft, if you print this object... and by all means, please share photos of your print.