The Swiss franc fell against the dollar in early trade on Tuesday, as the greenback recovered somewhat from the onslaught of recent selling which had knocked it to a nine year low against the franc. The dollar had come under pressure last week after US Federal Reserve Chairman Alan Greenspan suggested a softer dollar may be needed to help cut the US current account deficit. A weaker dollar, which makes Swiss exports more expensive, weakens a key pillar of the country's economy, which has been recovering on the back of strong export growth.