I hate to answer this one, becasue it looks too much marketing-speech but this feature exists. Not on beta.cliqz.com but on the drop-down search on Cliqz browser.
Based on the tabs you have opened, different query expansions are selected. For instance as you type "hotel in ma..." probably would show you results for Mallorca, but if you have "Madrid" on a tab, then it will show results for "hotel in madrid".
There will be a blog post about this contextual search because it's our showcase that is possible to do personalization without compromising privacy. All this is done privately, the browser receives results for multiple expansions and can chose which one to display based on local information. We never track or collect sessions of users.