The clearance is kind of important - banging yourself on the top tube can be very very uncomfortable (I know this from experience - rode a silly race that involved sharing a single speed coaster bike with 3 team mates and it was waaaay to big for me - help I can't get down!!) and much more likely to happen if you don't have any clearance....., but more important if the bike is that big on you does it fit anywhere else either? If it is too long you'll be robbing yourself of power and creating an uncomfortable riding situation for the rest of your body too.
(though I have to disagree with Riv's fitting philosophy too - I had a shop recommend and put on a longer stem on my old old bike to try to relieve some shoulder pain I was experiencing. Well sitting more upright did nothing for the shoulder and made my back and butt hurt too. They make beautiful bikes, but it annoys me that they seem so adamant that their way is the only way....fit the bike to the person riding it - not the way you like to ride)