Nonconforming Buildings Lawfully Under Construction. Any nonconforming building or structure lawfully under construction on the effective date of this chapter, pursuant to plans filed with the Construction Official and approved by him and all other municipal boards and agencies as required under law, may be completed and may be used for the nonconforming use for which it was designed, to the same extent as if such building had been completed and been in use at the effective date of this chapter, provided that such building or structure shall be completed within one year after the effective date thereof.