Hiding a list of part in a model ?

One reason your didn't work was becasuse your Object table was called, but you didn't say list any index that that you wanted. Another way to do your script, if you really wanted it to be a table is like this:

local V = script.Parent.Value
local Model = script.Parent.Parent.Parent
local Object = {
        Model["Head"],
        Model["Torso"],
        Model["Left Arm"],
        Model["Left Leg"],
        Model["Right Arm"],
        Model["Right Leg"]
}

V.Changed:Connect(function(prop) -- Every time the value changes, this will check if it is true
    if V == true then
        for i = 1, #Object, 1 do 
            Object[i].Locked = true
            Object[i].Anchored = true
            Object[i].Transparency = 1
        end
    end
end)

If it were me, I would do a much simpler version of what you're doing. It would look like this:

local V = script.Parent.Value
local Model = script.Parent.Parent.Parent

V.Changed:Connect(function(prop) -- Every time the value changes, this will check if it is true
    if V.Value == true then
        for Index, Descendant in pairs(Model:GetChildren()) do -- Gets all children of model
            -- Line below this one checks if the Descendants should be "hidden"
            if Descendant.Name == "Head" or Descendant.Name == "Torso" or Descendant.Name == "Left Arm" or Descendant.Name == "Left Leg" or Descendant.Name == "Right Arm" or Descendant.Name == "Right Leg" then
                Descendant.Locked = true
                Descendant.Transparency = 1
                Descendant.Anchored = true
            end
        end 
    end
end)