This is a pretty normal workflow.
Put the main clip into the source window, set the In and Out points, drag it back to the correct bin and rename it. Change the In and Out points again and drag it back to the bin. Rename and keep doing this until the entire clip has been cut into sections and renamed.
Just do not delete the original footage since the clips in the bins are really just pointing to the original footage. If you then use the Project Manager to trim the project, it should create clips with the names used in the bins.
Steven
Adobe Premiere Pro 1.5.1 / After Effects 6.5 Pro https://www.stevengotz.com
Learning Adobe Premiere Pro 1.5 https://www.lynda.com
Contributing Writer, PeachPit Press, Visual QuickPro Guide, Premiere Pro 1.5