"Duck Duck Goose" is a children's game, in which one player touches the others, each in turn, saying "duck" each time, (duck, duck, duck.... ) then saying "goose!" upon tagging someone "it". So that selection process might reflect looking at search engine results and selecting the right one.
I also think there's a double entendre here, in that to "duck" (i.e. to hunch down for cover) relates to privacy. Duck (privacy invasion), duck (more tracking attempts), then go (to your intended destination).
So: pick from a few choices till you find the goose (that laid the golden egg -- but I digress), then go. And keep your head down while you're doing it. I love it.
Final note: an acquaintance of mine recently worked at Google as a project manager. I first learned about DDG from him about 18 months ago. I got the strong impression, even then, that he (and others at Google) were concerned that DDG might take off.