Hi, I'm BlackOrange and I will be trying to help you out.

Problems:

1. It seems like you are trying to move the part to the mouse position
2. You have variables that could be outside, inside an event

Solution:

I will attempt to explain and type you a rough script of what you are trying to do.

-- Assuming this is a local script
local plr = game.Players.LocalPlayer
local Mouse = plr:GetMouse()
local Char = plr.Character or plr.CharacterAdded:Wait()
local Part = Char:WaitForChild('asdsd') -- the part that would look at the mouse

script.Parent.Activiated:Connect(function() -- activated event
    Part.CFrame.lookVector = Mouse.Hit.lookVector -- Changed rotation
end)

I do not know if this script works since I haven't worked with cframe for a while. But this is what you should be doing. Now since this is NOT a loop if you want it to continuously to rotate to face the mouse then you would have to add a loop OR spam to trigger to event multiple times.

Hopefully this helped.

Best of luck developer!

script.Parent.Activated:Connect(function()
    local plr = game.Players.LocalPlayer
    local mouse = plr:GetMouse()
    local char = plr.Character
    local waited = char:FindFirstChild("asdsd")
    local x = Instance.new("BodyVelocity",waited)
    waited.Anchored = false
    x.MaxForce = Vector3.new(math.huge,math.huge,math.huge)
    x.Velocity = mouse.Hit.LookVector * 23
    waited.CFrame = CFrame.new(waited.CFrame.Position, mouse.Hit.LookVector)
    wait(2)
    waited:Destroy()
end)

hopefully this helps ^_^