How do I make a leaderboard that updates as time goes on?

Hello.

Before this question gets answered, please note that ScriptingHelpers is NOT a request site! ScriptingHelpers is only here for answering questions or issues you have with your code.

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Anyway, with that out of the way, you can simply add a while loop to the leaderstats code, that updates the Points value by 1 every 5 seconds. This will keep updating the Points every time with addition.

You can then use the Humanoid.Died function to determine when the Player dies, and we can then reset the points to 0.

Here's an example:

local Players = game:GetService("Players")
local UpdatePoints = false

Players.PlayerAdded:Connect(function(Player)	
	Player.CharacterAdded:Connect(function(Character)
		UpdatePoints = true

		local Leaderstats = Instance.new("Folder")
		Leaderstats.Name = "leaderstats"
		Leaderstats.Parent = Player

		local Points = Instance.new("IntValue")
		Points.Name = "Points"
		Points.Parent = Leaderstats
		
		Player.leaderstats.Points.Value = 0
		
		local Humanoid = Character.Humanoid
		Humanoid.Died:Connect(function()
			UpdatePoints = false
			Player.leaderstats.Points.Value = 0
		end)

		while (UpdatePoints) do
			wait(5)
			Player.leaderstats.Points.Value += 1
			if not (UpdatePoints) then
				break
			end
		end
	end)
end)

Hope this helps!