How would I make this frame rotating and changing position better and smoother

Help and Feedback Scripting Support
#1

So, I was quite bored today, and I decided to make a quick little fish thingy. What I mean is like, whenever the player moves their mouse, the fish goes to that position, and if the mouse goes up, down, left, or right, the fish copies that. What I have right now looks a little buggy, though. I was wondering how I could improve it.

local uis = game:GetService('UserInputService')
local ts = game:GetService('TweenService')
local function rotate(angle)
	local tweeninfo = TweenInfo.new(.1, Enum.EasingStyle.Linear, Enum.EasingDirection.In, 0, false)
	local tween = ts:Create(script.Parent, tweeninfo, {Rotation = angle})
	tween:Play()
end
local frame = script.Parent
local mouse = game.Players.LocalPlayer:GetMouse()
local lastX = mouse.X
local lastY = mouse.Y

mouse.Move:Connect(function()
	local x = mouse.X
	local y = mouse.Y
	local newPosition = UDim2.new(0, mouse.X, 0, mouse.Y)
	frame.Position = newPosition
	if x > lastX then
		rotate(0)
	elseif x < lastX then
		rotate(180)
	end
	if y > lastY then
		rotate(90)
	elseif y < lastY then
		rotate(-90)
	end
	lastX = x
	lastY = y
end)
#2

It can be improved by setting the dominant direction (in x or y) and canceling the current tween before doing the next one.
However it still shakes when the movement is diagonal (dominant movement interleaved). This is all that can be done with tweens (in my experience of course).

local uis = game:GetService('UserInputService')
local ts = game:GetService('TweenService')

local tween
local tweeninfo = TweenInfo.new(.1, Enum.EasingStyle.Linear, Enum.EasingDirection.In, 0, false)

local function rotate(angle)
    if tween then tween:Cancel() end
    tween = ts:Create(script.Parent, tweeninfo, {Rotation = angle})
    tween:Play()
end
local frame = script.Parent
local mouse = game.Players.LocalPlayer:GetMouse()
local lastX = mouse.X
local lastY = mouse.Y

mouse.Move:Connect(function()
    local x = mouse.X
    local y = mouse.Y
    local newPosition = UDim2.new(0, mouse.X, 0, mouse.Y)
    frame.Position = newPosition
    if math.abs(x - lastX) > math.abs(y - lastY) then
        if x >= lastX then
            rotate(0)
        elseif x < lastX then
            rotate(180)
        end
    else
        if y >= lastY then
            rotate(90)
        elseif y < lastY then
            rotate(-90)
        end
    end
    lastX = x
    lastY = y
end)

For more smoothness springs are the best option.