My gut feeling is that Michelle is right. So many things interact with polymer clay and I think you'd end up with a mess. I saw a video showing that technique for nail polish, too. Maybe you could do something similar with alcohol inks -- I haven't tried using them with my polymer clay yet so I don't know if that would work. Or try applying some nail polish to a piece of scrap clay and see what happens. Just hang onto it for a couple of months before making anything to sell or give away so you know what the outcome will be.
I recently used drafting dots (small circles of not-terribly-sticky masking tape for holding drawings down on a drawing board) to attach pairs of unfinished earrings to each other. After they sat on my workbench for a couple of months, I had an extremely sticky mess. It took a lot of nail polish remover, dish soap, and scrubbing to get the sticky stuff off. I probably should have just thrown the earrings away but I was getting ready to take some stuff to a local shop on consignment and needed as much stock as possible.