How do I produce light around Character Torso on Click?

So there's this part called "LightSource". When you click it, it disappears and produces light around the torso of the character that is clicking it. This script didn't work:

local Player = game.Players.LocalPlayer
local LightSource = game.Workspace.LightSource
local Mouse=Player:GetMouse()
Mouse.Button1Down:connect(function()
    if Mouse.Target and Mouse.Target.Name == 'LightSource' then
        if (Player:findFirstChild("Torso") ~= nil) then
            local light = Instance.new("PointLight")
            light.Parent = Player
            light.Range = 15
        end
        if (Player:findFirstChild("Torso") == nil) then
        end
        LightSource:Remove()
    end
end)

Your problem appears to be that you're trying to grab the player themselves instead of their character. When you acquire LocalPlayer, you're getting their information for Players which isn't where their character will be. That can be found in the Workspace as a model named the same as the player.

I know what you're thinking, but instead of finding them via game.Workspace, you can locate their character with game.Players.LocalPlayer.Character

local Player = game.Players.LocalPlayer
local Character = Player.Character -- This should allow for you to locate the actual character to the player.
local LightSource = game.Workspace.LightSource
local Mouse=Player:GetMouse()

Mouse.Button1Down:connect(function()
	if Mouse.Target and Mouse.Target.Name == 'LightSource' then
		if (Character:findFirstChild("Torso") ~= nil) then
			local light = Instance.new("PointLight")
			light.Parent = Character
			light.Range = 15
		end
		if (Character:findFirstChild("Torso") == nil) then
		end
		LightSource:Remove()
	end
end)

I'm not able to test the script right now, but I assume it works?

Side note: In the future, you can block lines of code like I did in the text editor by highlighting the text and clicking the little Lua symbol at the top of the text box.