Cutting small tiles accurately and safely
Not to discount the need for safety, but tile blades are relatively low-risk. I'd use heavy, well-fitting leather gloves to virtually eliminate the chance of injury. 

Grasp the tile with both hands, elbows spread. By keeping your arms to the sides you prevent slips that would result in your fingers finding the blade. Press the tile firmly to the table or slide and move slowly past the blade. It's imperative that a firm grip is maintained and that the tile's orientation remains steady.

You could also clamp the tile, using a rubber pad, and cut with an angle grinder and diamond wheel.