You can indeed -- if you’ve identified a company of interest and would like to see more companies similar to them, you can kick off a new search on the fly by clicking the menu located to the right of the row next to the carat on the company row and selecting "See similar companies". This will open a new tab with this company at the center of your search. 

You can run a search on the fly around a relevant concept as well. First, open a company row by clicking anywhere within its space or via the carat on the right-hand side. Below the company description, simply click any of the relevant concepts to run a new Finder search.