To paraphrase Webster, backlash is a nonlinear phenomenon you find in a loose gearbox. Try turning the drive shaft clockwise. Then, stop, and turn it slightly counterclockwise. if you encounter a small region of no output in which the gears have to turn a little bit to have the teeth touch, then you are experiencing backlash.

Backlash is why some precision equipment is so annoying to use. In an electronics lab, I had an apparatus that would measure resistance or luminosity or something like that in a black box, and I had to turn a little crank to make the sensor mount move a specific distance that was measured by an encoder wheel on the crank. I had to take a measurement at specific intervals. If I overshot one part, I had to start all over again because if I backtracked, the resulting backlash would introduce error into my readings.

Backlash should not be confused with a deadband, which basically erases all signal below a specific theshold. Backlash is different because it only occurs when you reverse the input signal.