What should i do ? Varnish Peeled off guitar neck?

It is, isn't it? You wouldn't think that something as minor as that can be so annoying and distracting.....but if you place any value on the instrument, get it taken care of by a pro before too much oil off your hand soaks into the wood....it won't really hurt too much if it gets on the wood, but it will stain it a color that you may not want. A good repair man is your best bet, believe me...and he WILL be cheaper in the long run! I have seen so many guitar over-sprayed home repairs that just turned out disastrous and now the poor repair man's got a bigger job on his hands. Good luck!....the guitar will be just fine!