if you right-click on the layer that supposedly contains the intersection, and select open layer... a table should open.
If the table is empty, then there was no intersection, which usually indicates that you were trying to intersect two files that were in different coordinate systems. Just because they 'look' like they overlap... doesn't mean they do... this is because of projection-on-the-fly. Always use data in the same coordinate system (ie Project tool) to ensure that what you see is what is really there.
