Below is a current example of what is being implemented.
The idea is to be able to accept/reject directly from the modal window. Additional file details are also added above the buttons. Full title and description are visible as well in the modal window. Pressing Accept or Reject will perform the buttons process and open the next modal window automatically (not currently implemented, but is the plan).
I'm still looking into hover previews, but this should give a more detailed fast way of going through approval. The table itself was basically just a means of batch approval/reject.