3D printing is an excellent medium for prototyping and proving things work (or not).
It is, currently, just not suitable for mechanical parts as the strength simply isn't there. Flipper links would be about the absolute WORST thing to try and 3D print. Think about the flogging they cop when in use. Go and print something 3mm thick and see how easy it is to pull apart/break.
We injection mould our links in house using a nylon like material called POM and even then I am suspicious of the overall strength despite our rigorous testing.
Maybe in the future someone will develop a better method of 3D printing that uses a material that bonds together better but right now forget it.
You would be better off getting some plastic sheet and fabricating the links you can't easily find or making them from a bakelite sheet type material.