Disassemble the Faucet
If the leak continues or is coming from the end of the spout, you'll need to disassemble the faucet. First, close the water-shutoff valves under the sink.
Use slip-joint pliers to twist off the domed cap. You may want to wrap the jaws of the pliers to avoid marring the chrome finish.
Lift out the plastic cam and cam washer to expose the rotating ball. Take out the ball and inspect it for signs of wear.
Inside the faucet are two rubber valve seats that form a watertight seal against the rotating ball. Remove the valve seats by snaring them with a screwdriver. Use caution: there's a small spring behind each valve seat.