Could you take a screen shot of your surfaces tab for me on the eyes? And one of a rendered image so I can see what it's doing when it's rendered?
The things I would suspect, without having seen screenshots of the above two things, would be the Specular value, first of all. In your Surfaces tab, check the eye material zones (iris, pupil, cornea) and make sure that the "Specular Strength" is NOT set to a full 100%. Many textures leave the Specular Color set to true white, and the Specular Strength to 100%. I'd suggest turning down the Specular Strength to about 23%-25%, and set the Specular Color to more of a medium or light grey color, instead of the default full white.
However, that is just a guess without having the benefit of the screenshots. It could also be related to eye reflection maps and values on the various material zones for the eyes. If you could post a screen shot of the surfaces tab, and an example rendered image that shows the problem, it would help us to help you.
Also - what version of Studio are you running? And are you trying to render with 3Delight or Iray?