There are a number of things you can do.
1. If you're trying to follow along with a Bible study that is jumping back and forth between passages, don't do a verse search for those passages at all. Instead, leave the search set to the asterisk (*), which displays the entire text, and use the Go To box at the bottom right to quickly jump to the passages you want. For more on this, see this blog post: Getting to the Verse You Want
2. As you're jumping to various passages, you can bookmark a passage to navigate to it quickly. Just option-click the verse you want to get back to and you'll see a blue bookmark appear next to that verse. You'll also see two new up and down arrow buttons at the bottom left labeled "Mark." You can click these buttons to go back and forth between marked passages.
3. Another approach would be to use the tabbed Workspace window and have a Search window displaying one passage. Then duplicate that tab using Command-D and do a new search or navigate to a new passage in that tab. To switch between passages, you would simply switch between tabs.
Hope this helps.