Part does nothing when clicked on to activate the camera manipulation, how do I fix it?

Hello, What I'm trying to create is when a player clicks on a part, which would activate the MouseClick event on the ClickDetector, and when clicked, it changes the camera position to the part, and rotates around it, for some reason when I tried it out, nothing happens... Here is the script that I was talking about...

Note: The Child inside the Part is the Local Script and the ClickDetector.

local target = script.Parent
local camera = game.Workspace.CurrentCamera

local angle = 0
local isPlaying = false

script.Parent.ClickDetector.MouseClick:connect(function()   

    camera.CameraType = Enum.CameraType.Scriptable
    camera.CameraSubject = target

    isPlaying = true    

end)

while isPlaying do
    camera.CFrame = CFrame.new(target.Position)
                    * CFrame.Angles(0, angle, 0)
                    * CFrame.new(0, 3, 5)

    angle = angle + math.rad(1)

    wait()  

end

Thank you!

~NanotechSci