I'm finding my website is way more useful than I thought it would be.
1.) I'm (finally!) at a point where not all my work fits nicely on one page, so I tailor the resume to fit the specific job. Then, in the cover letter, and at the top of my resume, the web address is listed, which encourages people to check out the complete list of my work. I've been surprised at how many people know more about where I've worked than I have told them, simply because they saw my online resume.
2.) People who've checked out my website and viewed my resume online have been able to see who I've worked with. It's awesome when someone who I've just met can say, "oh... I've worked with so-and-so at blah blah theatre." It's a nice ice-breaker, and has definitely opened the door for some funny stories. (For example, current colleagues who have worked with former professors before they were professors... they always have stories that begin..."well, back when I knew *Sarah, she used to..." "We did Man of La Mancha back in '96!" Or something like that. It's a nice bonding experience, and often lends you some credibility in the new person's eyes.
So, yes. I haven't found any "cons" yet to having my resume online.