How can I put a players recent saying in a gui? [Sync List Chat Log]

I want to make a GUI that shows the text of recent player's sayings. So far I have this but it doesn't seem to work I might be doing something wrong but im not sure. How would I get the players recent sayings and put it in a GUI? [SCRIPT]

MainPlayer = game.Players.SavageMunkey
logs = {}
function GetLogs(name)
local log = "Logs:"
for i = 1,#logs do
if logs[i] == logs[name] then
log = log..table.concat(logs[name])
else
end
end
return log
end

function getLogz(m, plr)
		if m:sub(1,8) == "getlogs;" then
			plr = game.Players[m:sub(9)] 
				local SG = Instance.new("ScreenGui",plr.PlayerGui)
				local SGF = Instance.new("Frame",SG)
				local SGTB = Instance.new("TextButton")
				SGTB.Size = UDim2.new(0, 500, 0, 500)
				SGTB.Position = UDim2.new(.5,0,.5,0)
				SGTB.Text = _G.GetLogs(plr)
			SGTB.MouseButton1Down:connect(function()
				SG:Destroy()
			end)
		end
table.insert(logs(plr.Name)) -- idk if this is right
end
MainPlayer.Chatted:connect(getLogz)