You have several options for saving your research. The exact method depends on which database you are using. Generally, look for tools with names like Permalink/Link, Share, Send to, Google Drive, or Email.
In DiscoverDeWitt, after signing in, use the "Pin" feature to save to your favorites. You can also use the Permalink tool to copy the URL to the record. Use the Email button to email yourself the record.
Note that copying the URL from the address bar or keeping a tab open are not reliable ways to maintain access to a library resource. These links will time out. Be sure to use the database tools to generate a stable URL or permalink. It's also a good idea to use the Cite function to copy the entire citation to make it easier to find the source again if necessary.