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EXAMPLE 1 (Flex)
This works for Flex SDK (mxmlc) so if you get errors the see below
It is shown here in its own package but you can move it around to fit your needs.
package {
import flash.display.MovieClip;
import flash.events.*;
import flash.display.Sprite;
import flash.net.LocalConnection;

public class Send extends MovieClip
{

//don't change these, they create the channel name to access the API
public var chid:String = root.loaderInfo.parameters.chid;
public var channel1:String = 'GameSerpentChannel';
public var channel:String = channel1 + chid;
public function Send ():void

{

//Make your own button to click (we used a square to demonstrate)
var square:Sprite = new Sprite();
addChild(square);
square.graphics.lineStyle(3,0x00ff00);
square.graphics.beginFill(0x0000FF);
square.graphics.drawRect(0,0,100,100);
square.graphics.endFill();
square.x = stage.stageWidth/2-square.width/2;
square.y = stage.stageHeight/2-square.height/2;
//click the square to send your score
square.addEventListener(MouseEvent.CLICK, SendScore);
}

//Your Score Variables
// replace 999 with your game score variable
public var gamescore:Number = 999;
// replace 2 with your game mode variable if none leave as 2
public var gamemode:Number = 2;

//This is what connects to our API which is called when the square (button) is clicked
public function SendScore(event:MouseEvent):void{
var sender:LocalConnection = new LocalConnection;
sender.send (channel, "GameSerpent_api" , gamescore, gamemode);
}
}

}
****************
EXAMPLE 2 (for FLASH IDE) see exapmle 3 for a self contained class

*** Testing in the Flash IDE will throw an error because it is tryng to connect to the API just publish the file or add your own try catch routine to prevent this..
package {
import flash.display.MovieClip;
import flash.events.*;
import flash.display.Sprite;
import flash.net.LocalConnection;

public class Sender extends MovieClip
{

//don't change these, they create the channel name to access the API

public var chid:String;

public var channel1:String = 'GameSerpentChannel';

public var channel:String ;

public function Sender ():void

{

//Make your own button to click (we used a square to demonstrate)
var square:Sprite = new Sprite();
addChild(square);
square.graphics.lineStyle(3,0x00ff00);
square.graphics.beginFill(0x0000FF);
square.graphics.drawRect(0,0,100,100);
square.graphics.endFill();
square.x = stage.stageWidth/2-square.width/2;
square.y = stage.stageHeight/2-square.height/2;
//click the square to send your score
square.addEventListener(MouseEvent.CLICK, SendScore);
this.addEventListener(Event.ADDED_TO_STAGE, AddedToS);
}

private function AddedToS(e:Event):void
{
chid = root.loaderInfo.parameters.chid;
channel= channel1 + chid;
trace(root.loaderInfo.parameters.chid);
}

//Your Score Variables
// replace 999 with your game score variable
public var gamescore:Number = 999;
// replace 2 with your game mode variable if none leave as 2
public var gamemode:Number = 2;

//This is what connects to our API which is called when the square (button) is clicked
public function SendScore(event:MouseEvent):void{
var sender:LocalConnection = new LocalConnection;
sender.send (channel, "GameSerpent_api" , gamescore, gamemode);
}
}
}
*************
EXAMPLE 3 (FLASH IDE self contained class)

*** Testing in the Flash IDE will throw an error because it is tryng to connect to the API just publish the file or add your own try catch routine to prevent this..
//you would submit a score with this line in your game
Send.SendScore(yourScoreVar, root, yourGameModeVar/if not set to 2/);
//yourScoreVar - var that contains your finale score
//yourGameMode - optional variable of your game mode, leave as 2 for default

//Then this code goes in a class called Send. Put it into a file of it's own and
//copy it into a folder with the rest of your classes so that you can import it into your game.
package {
import flash.display.MovieClip;
import flash.events.*;
import flash.display.Sprite;
import flash.net.LocalConnection;

public class Send {

public static var channel1:String = 'GameSerpentChannel';

public function Send ():void {

}

public static function SendScore (gamescore:Number,r: * ,gamemode:Number=2):void {
var chid = r.loaderInfo.parameters.chid;
var channel:String = channel1 + chid;
var sender:LocalConnection = new LocalConnection;
sender.send (channel,"GameSerpent_api",gamescore,gamemode);
trace ("submiting",gamescore);
}
}
}

stop();
submitscore = new LocalConnection();//connect to GameSerpent.com API

//don't change these, they create the channel name to access the API
var chid = _root.chidas2;
var channel1 = 'GameSerpentChannel';
var channel = channel1 + chid;

// Your Score Variables
var gamescore = 999; //replace 999 with your gamescore variable
var gamemode = 2; //replace 2 with your game mode variable if none leave as 2

//Submit The Score
btn.onRelease = function() {
submitscore.send(channel, "gameserpent_api", gamescore, gamemode);
}

//***if you are using Mochiads version control your AS2 game may not work.
// //One work around may be to add _lockroot=true; to your main time line and see if that works.
//Or make a URL locked version only for use on gameserpent.com domain