Corning scores in the "low risk" category on the crime statistics chart in all crimes but Petty Larceny (theft and shoplifting). That may be due to the high concentration of small businesses along Market Street and Tioga Avenue... eight or nine blocks of shoppes.
There are 18 registered sex offenders in the area but that is only about one in a thousand which is very small percentage.
We have been to Corning many times over the last forty years and never have had any problems. It has always been a pleasant experience whether we were walking the shopping area in the day or visiting the restaurants and night-life establishments at night.
If you just use the same precautions you would use at home, then you too will have a great time visiting Corning.