It is narrated from Rubayyi' bint Mu'awwidh bin Afra' (may Allah be pleased with her) that she sought khul' (separation) from her husband, and she was ordered to observe a waiting period of one menstrual cycle.
This is more correct, and it does not mention who ordered her, nor the words "in the time of the Prophet (peace and blessings be upon him)." We have narrated in the Book of Khul' that she sought khul' from her husband in the time of Uthman bin Affan (may Allah be pleased with him).
Hadith Referenceالسنن الكبرى للبيهقي / كتاب العدد / 15600