今天自己写个小程序碰到了这个问题，在网上搜了一下人家的思路，整理了一下代码可以运行，感觉不错！
直接在JBuilder中新建一个应用程序，至于具体步骤就不描述了，此代码没有main函数无法直接运行。下面我贴出在Frame1中的代码：
import java.awt.*;
import java.awt.event.*;
import javax.swing.*;
import com.borland.jbcl.layout.*;
import java.util.Date;

public class Frame1
extends JFrame {
JPanel contentPane;
BorderLayout borderLayout1 = new BorderLayout();
JPanel jPanel1 = new JPanel();
XYLayout xYLayout1 = new XYLayout();
JScrollPane jScrollPane1 = new JScrollPane();
JList jList1 = new JList();
//初始化的JList中的数据
String[] strData = {
"One", "Tow", "Three"};
//保存点击按钮的时间
long clickTime = 0;

//Construct the frame
public Frame1() {
enableEvents(AWTEvent.WINDOW_EVENT_MASK);
try {
jbInit();
}
catch (Exception e) {
e.printStackTrace();
}
}

//Component initialization
private void jbInit() throws Exception {
contentPane = (JPanel)this.getContentPane();
contentPane.setLayout(borderLayout1);
this.setSize(new Dimension(532, 468));
this.setTitle("Frame Title");

jPanel1.setLayout(xYLayout1);
jList1.addMouseListener(new Frame1_jList1_mouseAdapter(this));
contentPane.add(jPanel1, BorderLayout.CENTER);
jPanel1.add(jScrollPane1, new XYConstraints(18, 34, 209, 326));
jScrollPane1.getViewport().add(jList1, null);
jList1.setListData(strData);
}

//Overridden so we can exit when window is closed
protected void processWindowEvent(WindowEvent e) {
super.processWindowEvent(e);
if (e.getID() == WindowEvent.WINDOW_CLOSING) {
System.exit(0);
}
}

//具体实现按钮双击的功能的方法， 很简单的算法，不做解释了
public boolean checkClickTime() {
long nowTime = (new Date()).getTime();

if ( (nowTime - clickTime) < 300) {
clickTime = nowTime;
return true;
}
clickTime = nowTime;
return false;

}

void jList1_mouseReleased(MouseEvent e) {
//判断是否双击，是的话写你要实现的功能
if (checkClickTime()) {
System.out.println("Click Double");

}
}
}

class Frame1_jList1_mouseAdapter
extends java.awt.event.MouseAdapter {
Frame1 adaptee;

Frame1_jList1_mouseAdapter(Frame1 adaptee) {
this.adaptee = adaptee;
}

public void mouseReleased(MouseEvent e) {
adaptee.jList1_mouseReleased(e);
}
}