In any district in which single-family dwellings are permitted, a single-family dwelling and customary accessory buildings may be erected on any single lot of record after the effective date of adoption or amendment of this chapter notwithstanding limitation imposed by other provisions of this chapter. Such lot must be in separate record and not of continuous frontage with existing lots. This provision shall apply even though such lots fail to meet the requirements for area or width, or both, that are generally applicable in the district provided that yard dimensions and requirements other than those applying to area or width, or both, of the lot shall conform to the regulations for the district in which such lot is located.