Why is my start method undefined for the timer class?

import javax.swing.*;
import java.awt.FlowLayout;
import java.awt.event.*;
import java.util.*;
import javax.swing.Timer.*;

class Timer {

    public static void main(String[] args) {
        JFrame frame = new JFrame();

        final int FIELD_WIDTH = 20;
        final JTextField textField = new JTextField(FIELD_WIDTH);

        frame.setLayout(new FlowLayout());
        frame.add(textField);

        ActionListener listener = new ActionListener() {
            public void actionPerformed(ActionEvent event) {
                Date now = new Date();
                textField.setText(now.toString());
            }
        };

        final int DELAY = 1000;

        Timer t = new Timer();
        t.start();

        frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
        frame.pack();
        frame.setVisible(true);
    }
}

It could be a syntax error, but I don't think so because I copied this program straight out of a book. The line of code, 't.start();' has an error line under it saying that the start() method is undefined. At first, I thought that the start() method didn't exist, but I looked it up in the library.