Kenmore 52542101 makes ice, but does not dispense

There is only a switch and a motor on that circuit. You need to get at the switch and test it with an ohm meter to see if it's closing. Unplug refrigerator first. If it's not closing replace it. If it's closing then you need to pull motor and test it.

This is about a Whirlpool refrigerator but a lot of ice makers are a lot alike. http://seekyt.com/ice-maker-motor-module-repair-for-the-weekend-warrior-and-all-around-handyman-or-woman/