Rav Huna bar Chiyya, the son of Levi [(it should be "the son of Levi" (in his name)] was a student of Rav and disagreed with Rav Nachman in the chapter "Yesh Nochal" [(Kiddushin 81a). Rav Huna bar Chiyya believed that one should act according to Rabbi Zechariah ben the butcher. Rav Nachman said to him, etc. The statement that he was a student of Rav is not found in the Talmud, for his father-in-law, Rabbi Yirmiya bar Abba, was a student of Rav.
Also, in the book "She'erit Yosef," he is not mentioned among the students of Rav. In Bechorot (31a), it is stated that Rav Huna bar Chiyya was needed by the sages to ask him about halachot. He would enter with Rav and Rav Yosef and the two of them from the Rabbis heard that they were being tied up (bound and fixed for them) with twenty chairs. They heard that he became a tax collector for the king (appointed by the king to collect taxes from Israel).
They sent to him, saying, "Go after the importance (that he chose to be a tax collector, and we will not go to him)." He sent to them, "Go to his precedence." Rav Yosef did not go; Rav went, etc. In Yichusim, it is written that Chiyya bar Huna became a tax collector, etc. In Yichusim, in the name of Rosh G. We heard from the Rabbis that these two after Rav Yehuda did not receive the first position from the king.
Rav Huna bar Chiyya in Pumbedita had the first position there, and there was a great Midrash there [(and in the commentary there, it is strange according to their words that we say in Gittin, "That rooster that was in the house of Rav Yehuda, and ultimately in the house of Rav, and ultimately in the house of Rav Yosef," etc. And if it is true that Rav Huna bar Chiyya preceded Rav, he should have been mentioned)] and when he died, Rav bar Nachmani was compelled to accept the first position. [And Rabbi Abba opened for Rav Huna in Shabbat (47a).
And Rabbi Abba sat (Rabbi Abba stood to present as is proper, and so it is in Ein Yaakov) and a woman named Na'amita came and swallowed the tefillin of Rabbi Abba, and Rav Huna bar Chiyya saved them. (And in the Jerusalem Talmud, Makkot, chapter 3, halacha 7, Rabbi came and choked.) Rabbi Abba said to him, etc. He said, "But it was my case, and I came before Rav Metna and before Rav Yehuda in Makkot (26a).
Rabbi Abba bar Benjamin bar Chiyya asked him. Rav Yosef sat behind Rav Huna bar Chiyya, and Rav Huna bar Chiyya sat before Rav Nachman in Bava Kamma (116b). Rabbi Yirmiya bar Abba said in Bava Kamma (59b), and he is the father-in-law of Rav Huna bar Chiyya in Bava Kamma (93). And it is strange that in Shabbat (chapter 2) he preceded the words of Rav Huna bar Chiyya to the words of Rabbi Abba.
Levi, his son. And Levi, the son of Shmuel, fixed the handkerchief of Rav Yehuda. And Menyumi bar Chalkiya and Rav Chalkiya bar Tuvia. Rav Nachman said to him, "What is the reason you did this?" He said, "Because Rav Huna said, etc." He said, "I will send to Rav Huna, 'How did you do this in Bava Batra (Kiddushin 81a)?'" In the name of Ula, Nedarim (56a) said Shmuel, Chulin (79a), Shabbat (51b), Taanit (10a).
Rav Chiyya bar Rav Huna, perhaps he is his son.]
Seder_HaDorot,_Tanaim_and_Amoraim.967:1