Jabir said, "One of our men had a son and named him al-Qasim. The Ansar said, "We will not give you the kunya of Abu 'l-Qasim to make you happy.' He went to the Prophet (ﷺ) and told him what the Ansar had said. The Prophet (ﷺ) said, 'The Ansar did well. Call yourselves with my name but do not use my kunya. I am Qasim (the divider)."

Ibn al-Hanafiyya was heard to say, "There was an allowance made for 'Ali. He asked, 'Messenger of Allah, if I have a son after you can I name him with your name and use your kunya?' Yes,' he replied."

Abu Hurayra said, "The Messenger of Allah (ﷺ) forbade for someone to have both his name and his kunya. He said, 'I am Abu 'l-Qasim. Allah gives and I distribute.'"

See hadith 837.

Usama ibn Zayd reported that the Messenger of Allah (ﷺ) arrived at a gathering which included 'Abdullah ibn Ubayy ibn Salul before 'Abdullah ibn Ubayy had become Muslim. He said, "Do not bother us in our gathering." The Prophet (ﷺ) went to Sa'd ibn 'Ubada and said, "Sa'd, did you not hear what Abu Hubab said?" He meant 'Abdullah ibn Ubayy ibn Salul.

Anas said, "The Prophet (ﷺ) visited us. I had a young brother who used the kunya of Abu 'Umayr. He had a sparrow which he used to play with it and it had died. The Prophet (ﷺ) came it and saw that he was sad. He asked, 'What is wrong with him?' He was told, 'His sparrow has died.' The Prophet said, 'Abu 'Umayr, what has happened to the little sparrow?'"

Abdullah gave 'Alqama the kunya Abu Shibl when he had no children.