It turns out that I am missing a bushing that fits in the handle where the cable attaches to the handle.
Now you're to the critical part. Here's what happened to me:
My clutch cable broke the first time, I lost the bushing. New cable, everybody's happy.
Until, it "broke" the second time. No bushing, the cable end pulled through the section of the handle. Started to replace the cable, realized I needed the bushing, replaced that.
And then, since the handle was sharp, it broke
again even after the bushing was supplied.
Final solution: new cable, same bushing, new handle.
The morale of the story is: make very certain the handle is not sharp or burred. I use my old handle for a paperweight at work now.