Apparently not. I thought the same way however I heard it refered to on 5 live over the weekend. Something about snow and ice being a natural hazard but by clearing you may create a greater hazard.
Did a bit of research and it seems this "liability from clearing snow" thing stems from a question raised in Question Time in February, 2004, where it was stated that you may be liable "If it is done in a less than complete manner and leaves ice, which is more dangerous than the original covering of snow"
A more recent article says:
"THE [Edinburgh] city council has dispelled two urban myths which have sprung up as a result of cold snap. They confirmed there is no by-law in Edinburgh which requires all businesses and private homes to clear snow from the front of their premises.
But anyone who decides to get the shovel out can rest easy. The spokesman said individuals who cleared pavements would definitely not be held liable if there was then an accident – unless they had actually made it more dangerous."
-- The Scotsman, 7th Jan 2010
So basically, as I said, you're only liable if your actions create a foreseeable hazard.