I modified the battery box of THIS:
The positive pole tips of AA alkaline batteries is just a smidgeon longer than those of my duracell rechargeables. With Duraloops installed, when the cover of the battery box is closed, it pushed the middle of the three batteries away from the center positive battery box contact. The light wouldn't light.
I took it apart... just six screws. I pulled the contact out, put it on my workbench, and put a dab of solder on the contact, to build it out, just a little bit.
Now duraloops work!
As a side note:
I have three kinds of duraloops, white tops, black tops, and green tops. The white tops worked without modification, but the green and the black tops did not. Now they all work!
Here is a picture of the tips of the batteries,
Left to right... Alkaline, white top, black top.