I've heard the argument a couple of times over the last week that you ought not clear the snow in front of your house because you "might get sued". What I haven't seen is any reference to case law, or precedent. The only thing I could find was a discussion in the House of Lords in 2004 which may be the root of the myth:

So, basically if you try to make things better but make them worse (for example, you might pour hot water on snow to make it melt and wind up with ice instead) you'd be in trouble, but if you made an effort and did a decent job you ought to have nothing to fear.

This is not to be confused with the situation at work and the public responsibility. An employer has a responsibility to provide a safe workplace, and this means that they need to clear walkways, and provide equipment to do so safely if their own staff are doing it. There was a case recently on this which made the responsibility clear - see report here. And I believe that a council has a separate responsibility to make the roads as safe as they can (though on the evidence of last week there's a lot of latitude with this).

Personally I'd like to see us having an equivalent of the US/German system where the occupier of a residence is obliged to clear the area in front of their own place.