What's the most efficient way to make a Chat log?

I've tried doing a chat log using Tables and bindable functions,but it didn't turn out very efficient and the tables would mess up the order if someone chatted,so whats the most efficient way to make a Chat log or to make this thing more efficient?

Heres the Hierarchy

My Test Chat Log thing:

Chatlog = {}
------------------------------
InsertChat = script.InsertChat
PrintChatLog = script.PrintChatLog
------------------------------
function InsertChat.OnInvoke(Chat,Boolean)
        if Boolean == true then
            table.insert(Chatlog,#Chatlog,Chat)
            return Chat
        end

end
------------------------------
function PrintChatLog.OnInvoke()
        for i,v in pairs (Chatlog) do
            print(v)
        end

end
------------------------------

Separate script:

game.Players.PlayerAdded:connect(function(Player)
    Player.Chatted:connect(function(Message)
        ------------------------------------------------
        InsertChat = game.workspace.ChatLog.InsertChat
        PrintChatLog = game.workspace.ChatLog.PrintChatLog
        ------------------------------------------------
        InsertChat:Invoke(Message,true)
        wait()
        PrintChatLog:Invoke()
        end)
end)

I use the output in my place to test it.