I don't apart from when I'm initially filling the washing up bowl and doing some cups and glasses. My theory is that the washing up water has less surface tension and thus runs off the crockery better when they're draining/drying.
Where does this leave us then? All the dishwashers include a rinse in their standard cycle, so should it be surprising that you can save water by cutting corners like not rinsing?
Dishwashing machines probably have more need to rinse the dishes as they are using more concentrated formulations. I don't know if it's safe to lick dishwasher tablets, but I hope it's safe to lick dishwashing liquid, though probably not very nice.