Why is the movement choppy?

Alright, so I've been working on a 3rd person script, and it works, kinda. There are no errors, but the movement is very choppy. What I mean, is that when the player moves the mouse, the player's body does move in the right direction, however it looks rather odd for some reason. Yes, I am using RenderStepped.

game:GetService("RunService").RenderStepped:connect(function()
    bounceRate = (bounceRate or 0) + math.rad(speed)
    bounce = bounce + math.sin(bounceRate)
    local camera = workspace.CurrentCamera.CoordinateFrame.lookVector
    local angle = CFrame.Angles(0,math.atan2(camera.X,camera.Z)+math.rad(180),0)
    game.Players.LocalPlayer.Character:SetPrimaryPartCFrame(CFrame.new(game.Players.LocalPlayer.Character.PrimaryPart       .CFrame.p)*angle)
    game.Players.LocalPlayer.Character.Humanoid.CameraOffset = offset*Vector3.new(1,(bounce/(100))+1,1)
    for _,part in pairs(parts) do
        if part:IsA("BasePart") then
            part.LocalTransparencyModifier = 0
        end
    end
end)

There's the main code. If you want to see what I mean, here's the place: http://www.roblox.com/games/301680604/Waffloids-Place-Number-12808