As explained in this recent blog entry, the ISP constituency group of the Generic Name Supporting Organization, - one of the main ICANN constituent - is having hard times with the cybersquatters. One of their domain names, www.ispcp.org, has been recently "snapped" by VirtualClicks. The website is parked since then on a GoDaddy's ad portal and that one is for sure highly profitable.
But it’s not the first time such troubles hit ICANN’s bodies. A sub-entity of the GNSO ("NCC") lost some years ago "icann-ncc.org", the domain managing their mailing list.
Such as any other well-known organization ICANN has always been heavily cybersquatted : icannonline.org, wwwicann.org, icann-usa.com, myicann.com, icannagency.com…

I'm sure that won't drive ICANN start dealing with domain tasting or cybersquatting issues. But it might be interesting to see their arguments in a dispute resolution proceeding :->