I had this happen to a Slimlighter once. If your problem is like mine, then there is likely a loose or broken connection between the LED card and the driver board.
Take off the snap-in bracket from the blue end of the Slimlighter. Remove the lens and the optic. Lift up the innards and pull them out. You only have a few inches of wire to work with, and so you may be happier removing the innards from the red side in the same way. Look for the four-pin connector with two rows of two pins each, arranged in a square, near one of the corners of the blue LED card. The pins from the driver board should extend through the square connector.
One of the four solder joints for the connector has probably broken. It's a relatively small surface, and the repair would probably best be done with a hot air rework station. If you're very careful, then you can probably make the repair with a soldering iron. I was successful, anyhow.