Consult your clock's owner's manual, if available, for troubleshooting procedures and instructions on how to open the clock body for repair.
Check your clock against another clock or watch to determine whether it keeps accurate time. If the clock keeps time but the chime doesn't sound, the problem may be with the chime wiring. If the clock doesn't keep accurate time, the problem lies elsewhere.
Insert fresh batteries in your clock, or plug it into another outlet elsewhere in your house. Test its timekeeping and chime functions again to rule out issues with the power supply.
Remove the clock's batteries or unplug it. Open your clock's case using a screwdriver. Insert a flat head screwdriver to pry apart the case if it's held together by clips rather than screws.
Press the reset button on the chime assembly, which is a box that includes a fabric-covered speaker inside the clock, if it's equipped with one. Insert the batteries or plug the clock in to test the chime for functionality.
Unplug the clock or remove its batteries again. Look for loose or frayed wiring inside the clock, especially around the speaker assembly. Remove components as necessary, using a screwdriver, to get a view of the wiring and chime speaker.
Repair frayed wires by cutting them and stripping off an inch of plastic insulation with a wire stripper. Twist the wires together and cover the joint with electrical tape.