Here is what I am getting out of this:

The tower’s HumanoidRootPart is probably still moving, but the rest of the tower might not be. If the tower is a model, you can use :MoveTo() on it to move the whole thing. Example code:

mouse.Move:Connect(function()
    print("moved")
    tower:MoveTo(mouse.Hit)
    print(towerHum.CFrame)
    print(mouse.Hit)
end)

I am writing this on a school iPad, so I am not able to test this or provide documentation links (they blocked roblox.com), but please tell me if it works!