How do I make Client side scripts such that the script applies to the client, not the whole server?

E.g

If I want a part to vanish for the local client only when he touches it, i want that the part should disappear for only that specific person who touched it and not anyone else.

Please help and give any reference you have for links or text.

If you have FilteringEnabled, you can just detect the part being touched through a LocalScript. If you made a LocalScript inside something like StarterGui, you could do something like this:

local part = workspace["PartName"]
part.Touched:Connect(function(hit)
	if hit.Parent == game.Players.LocalPlayer.Character then
		part.Transparency = 1
	end
end)

But @mattscy Why does it only work when I put it into the starter GUI, why nowhere else, can you show me how to script it if I put it inside the part, or it doesnt work that way?