Unless good neighbours do something particularly stupid while clearing snow and ice from paths and driveways, they have no need to worry about being sued if someone then slips and is injured. As with any personal injury claim, someone must be negligent and that negligence must be proven for a claim to succeed. You would have to have been extremely reckless for a lawyer even to consider taking on a case against you.
I am not aware of any successful claims against members of the public who have cleared ice and snow. But, to clarify, using hot water to melt snow for example which is then going to re-freeze and create a dangerous sheet of ice would be very foolish and someone could be hurt.
Just use some grit and a shovel.
Association of Personal Injury Lawyers (APIL)