I'd like to be able to stop a search, but still keep the list of found files available to use. You could add this to the list of options with you right-click on the search tab.

That is a feature I would not mind myself. Although, Xolox repeats searches at a rather slow rate (compared to what is used to do), as to have minimal impact on network traffic.

Mostly I want it just to make it easier to review the search results. Typically, I'll start a search and once I have a few hits, I'd like to stop the search (but keep the list of files up so I can pick one or several to look at) Many times I'll select a file by its size in order to minimize the chances of getting an incomplete file. The additional search results constantly change the search results list and it is difficult to remember which ones you have already mentally eliminated.