There are plenty of search engines that already offer you private searching, such as DuckDuckGo, the UK's Oscobo, and StartPage, so Peekier is another entrant into that busy field. However, while is does all that the other engines do to protect your privacy by not storing searches, IP addresses and the like, it has an interestingly different way of providing you with results. Rather than the usual text links it's more of a visual results engine which gives you tiled results for your queries.
I've chosen the smallest tile set, but you can get larger if you prefer. You can mouseover an image and see it larger on the screen and you can scroll around the page, but you can't click to go to other pages on the site, which is common with other engines that use this approach. It pulls its results from Bing rather than Google, so you've got a nice alternative.
Of course there are plenty of limitations with it - you can't search for images, news, video and so on. However, as you can see from the search bar, it is giving you some suggested search options that you can try. Is it worth using? If you're already using a privacy enabled search engine, probably not. On the other hand, if you like the tile based layout this might tempt you away from your preferred option.