One of the few things that are interesting about Cuil, the search engine launched two days ago, is the query suggestions feature. Most search engines suggest queries using a list of popular searches, but Cuil didn't have this option. The site obtained the suggestions by compiling a list of n-grams from web pages. For example, if you type "web images", you'll get a lot of variations of Google's navigation bar. A Google search for "web images * * *" returns similar results.
A simple way to view just the suggestions is to use:
http://www.cuil.com/suggest?q=click here (replace "click here" with your search). You'll notice that the results are very different than the suggestions from Yahoo, Google or Ask.