droppers spawn before player touches buy dropper button????

I don't use free models, but I'm going to try my best helping u. Make it so when you touch the tycoon gate or whatever to claim it, make a value for that. And put this script in the gate thingy. And in the gate model insert a BoolValue and name the value Owned

local NotTouchedYet = false --debounce
function onTouch(hit)
	if NotTouchedYet == false and hit.Parent:FindFirstChilc("Humanoid") then -- checks if it is a player and the debounce is true
		local NotTouchedYet = true
		script.Parent.Owned.Value = true
	end
end

There, now for your script. So this is your final product.

wait(2)
workspace:WaitForChild("PartStorage")
local GateValue = --go to the place where the Owned value is

while GateValue.Value == true and wait(1.5) do --Checks if it is owned and makes the wait here, making the script shorter.
    local part = Instance.new("Part",workspace.PartStorage)
    part.BrickColor=script.Parent.Parent.Parent.DropColor.Value
    part.Material=script.Parent.Parent.Parent.MaterialValue.Value
    local cash = Instance.new("IntValue",part)
    cash.Name = "Cash"
    cash.Value = 5 -- How much the drops are worth
    part.CFrame = script.Parent.Drop.CFrame - Vector3.new(0,1.4,0)
    part.FormFactor = "Custom"
    part.Size=Vector3.new(1.2, 1.2, 1.2) -- Size of the drops
    part.TopSurface = "Smooth"
    part.BottomSurface = "Smooth"
    game.Debris:AddItem(part,20) -- How long until the drops expire
end

Also, don't just paste this in and let the magic happen, follow the comments and other instructions!