Why are the parts not spawning?

I encourage you, Darknesschaos, to read the relevant articles and documentation on the Official Roblox Wiki, for example, the page on the clone() method. On that page, you will see under the notes section that:

"The copy's Parent is initially nil."

This means that when you clone something, it initially doesn't belong anywhere, and so it won't, for example, appear in the workspace.

local storage = game:GetService('ReplicatedStorage')
local color = storage.Color:GetChildren()
local base = workspace.BasePlate

math.randomseed(tick()) --You only need to seed once, so keep this out of the loop
while wait(2) do

    local choose = color[math.random(1, #color)]:clone() 

    choose.Parent = workspace --Set the parent property of "choose" to "workspace"

    choose.Position = base.Position
end

local storage = game:GetService('ReplicatedStorage')
local color = storage.Color:GetChildren()
local base = workspace.BasePlate
local Parent_To_Base = false -- Set to true if you want it to parent IN the base.

while wait(2) do
 local choose = color[math.random(1, #color)]:clone() 
if Parent_To_Base then
choose.Parent=base
else
choose.Parent=game.Workspace
end
 choose.Position = base.Position
end