Is it possible to make a clickdetector cooldown?

I have tried making a click detector cooldown but what it does is just remove the clickdetector then after a few seconds it breaks the script.

You could add a debounce to the script.

local part = game.Workspace.Part
local clickDetector = part.ClickDetector
local canClick = true
local clickTime = 5 --Time in seconds

local function onMouseClick(player)
	if canClick then
		part.BrickColor = BrickColor.Random()
		canClick = false
		wait(clickTime)
		canClick = true
	end
end
 
clickDetector.MouseClick:Connect(onMouseClick)