TG is not really built for "chain reflection stuff", as you put it, with highly mirrored/reflective surfaces interacting with minimal distortion. In most cases in nature, reflections are distorted, imperfect, and so TG is optimized for this case more than for perfect mirrors.
That being said, Ulco's suggestions are good and probably point in the right direction. You can probably improve the results, but at the cost of render time. First, in the Renderer node under Advanced tab, try changing Ray Detail Region to 360 degree optimal. If that doesn't help, you can try going into the internal network of the Renderer node and edit the Subdiv Settings node, increase the Ray Detail Multiplier to 1.
- Oshyan