In years and years, I've only ever heard "WikiWikiWeb" used when discussing the roots of the wiki phenomenon.
That seems to be correct:
Q: Why is Wiki always written with a capital W? A: "Wiki" (with a W) is shorthand for the WikiWikiWeb (aka WardsWiki), i.e. this site. "wiki" (with a w) means "a site that operates along the same principles as Wiki", probably running one of the WikiWikiClones. See WikiHasManyMeanings for more on when to capitalize "wiki".
(taken from http://c2.com/cgi/wiki?WikiWikiWebFaq)
Problem solved.