Open the clock up and locate the movement piece, which is comprised of two brass or metal plates with gears in it. Each gear has a brass wheel with a steel arbor and pivot. The pivot sits between the plates with an oil sink for each pivot found on the outside of the metal plates. Some clocks might require unscrewing the movement piece to get a full view of all components.
Make sure the oil sink is clear of grime before putting oil in it. Lightly dust the oil sink with the edge of a pipe cleaner. If major grime is in the clock movement pieces, seek the help of a professional clock repairman.
Place one drop of oil in each oil sink with the application syringe. Only use clock oil to prevent damaging the movement mechanisms. Do this on both the front and back plate.
Find the center wheel attachment between the two plates. The center wheel is the large gear on the front plate that extends to the middle of the interior of the front plate. Place one drop on the center wheel attachment.
Place one drop of oil on stems and lever hammers located in the movement mechanism.
Find the chime pulleys. Place one drop of oil in the rotational mechanism on the side of each pulley.