I had to laugh when I read your post. My company has the same rule. However, my boss doesn't. I am a 14 year employee who gets a load of work done every day, I have not taken a sick day in six years, and I am told my attitude lends to the general well being of our office. My boss understands that diversions are necessary to maintain a sane attitude!
Don't get yourself fired, but don't take the IT people too seriously either!