Tercel_Driver, if that clicking is a single or double click, then that's OK. It's the relay switching off the electron gun while all the rates are reconfigured. If it's more than two clicks, your monitor has a problem.
60Hz refresh rates create resonance issues with normal lighting, therefore you should use a higher rate. I haven't found eye strain with that though, more common are headaches after a few hours' use.
Super-Supra, I have found that flat panels hurt my eyes more than CRTs, but then I have a pair of VERY good CRTs, so that probably helps. I find that the flat panels are too bright for me, and make it harder for me to process the large contrast of black text on a white background. I tend to set my monitor's brightness very low, because that reduces the light energy coming into my eyes.