How would I recreate arm movement in this video?

Here is how it would be used:
local Offset = 0
local VectorOffset = Vector3.new()
RunService.RenderStepped:Connect(function(deltaTime)
Offset += deltaTime
RigHead.CFrame = Camera.CFrame:ToWorldSpace(CFrame.new(VectorOffset))
end)
VectorOffset is the Vector3 generated by the camera bobbing function.