Hi DJ,
Do the rows you want to print have something in common? If so (for example, if you want to print all the rows for customers in a particular city), you could add that characteristic (e.g. City) to the cube as a level if it isn't already one, and then either filter the pivot table to the City member you're interested in, or add the City level to rows/columns and select cells corresponding to the city you want to view the listing for. Then you should be able to see a listing that only has the data you're interested in, and print or export its results.
The check-boxes in the listing are mainly useful if you are working with a custom action, but that probably isn't the direction I would recommend you go if you are starting out with IRIS BI.