Just so happens, my wife uses the stuff and I'm familiar with it.
The website was up and running fine (3/28/05 at 10:54am) when I checked it. It may have just been down while you were assuming the problem was at your end.
I have checked the settings in every browser I have (Mozilla, Firefox, IE, Opera, Netscape) and its settings, my version of SUN Java, every anti-ad/spyware program, my firewall, and even uninstalled/disabled the latter and I still cannot load www.clinique.com.
Browsers just sit there saying "waiting for...". With firewall disabled, some of the page does load (animation and parts of menu on the right); am able to click on some links to get to the French site and the German site, but the US site - no.
The page source I have been able to see doesn't seem to have anything odd about it, and friends who have attempted access have no problems.
Things never even get to the point where my browsers ask if the site can set a cookie, etc.
Anyone have any idea what's going on?
Thanks in advance for any help!
Cheers!
NAL

Chowhound
Comic Vine
GameFAQs
GameSpot
Giant Bomb
TechRepublic