Labelled "Bavlai [Babylonian]" by Rabbi Yochanan: Shabbat 105b
Rabbi Yochanan told Rabbi Chiyya bar Abba "If I hadn't lifted the pottery, you wouldn't have found the gem underneath it!": Bava Metzia 17b
Rabbi Chiyya bar Abba and Rabbi Ayvo bar Nagri practiced a law against a teaching of Rabbi Yochanan, angering him: Rosh HaShanah 21a
He and Rabbi Asi were labelled "dardiki [Children]" by Rabbi Yochanan, and chastised for speaking without knowledge [although it doesn't seem that he was guilty here?]: Shabbat 145b
Rabbi Chiyya bar Abba's physical suffering was healed by Rabbi Yochanan: Berachot 5b
Rabbi Chiyya bar Abba's set of quotations of Rabbi Yochanan: Shabbat 114a; Megillah 19b
Rabbi Chiyya bar Abba citing a statement of Rabbi Yochanan, and then "smashing it on the head": Megillah 19b [2x]
Rabbi Chiyya bar Abba asked Rabbi Yochanan about a statement made by Rabbi Akiva; Rabbi Yochanan said, "While you were eating dates in Babylon, I explained that line thus": Bechorot 18a
Interaction with Rabbi Asi
He and Rabbi Asi labelled "dardiki [Children]" by Rabbi Yochanan, and chastised for speaking without knowledge [although it doesn't seem that he was guilty here?]: Shabbat 145b
Asking Rabbi Asi why the birds of Bavel were fatter than those of Israel: Shabbat 145b
Asking Rabbi Asi why the holidays of Israel were less joyful than those of Bavel: Shabbat 145b
Asking Rabbi Asi why the Torah Scholars of Israel were less visible than those of Bavel: Shabbat 145b
Asking Rabbi Asi why the non-Jews sweated more than the Jews: Shabbat 145b
Rabbi Chanina bar Yosef, Rabbi Chiyya bar Abba and Rabbi Asi were staying in an inn together and had a Halachic question; Rabbi Chanina bar Yosef gave a leniency, which Rabbi Asi opposed. Rabbi Chiyya bar Abba said, "Let us depend on the elder," which they did. They later asked Rabbi Yochanan, and he approved of their actions, to the amazement of the students in Neherdaa and of Rabbi Elazar: Eruvin 65b-66b
Other Activities
Teacher of Reish Lakish's children: Ketuvot 8b
Consolation when one of Reish Lakish's children died: Ketuvot 8b
Responding to a question, in Aramaic, "The wise men and teachers and heads of the nation and the speakers say...": Succah 38b
After Rabbi Chiyya bar Abba saw how Rabbi Yehoshua ben Levi rushed to bring his son to school, he wouldn't eat breakfast before reviewing his son's learning with him and adding some new item: Kiddushin 30a
Rabbi Chiyya bar Abba responding to a question of Rabbi Zeira with a sharp insult, 'Tarda!': Zevachim 25b
Telling of visiting a wealthy man in Ludkiya, who credited his wealth to his efforts as a butcher to save choice meats for Shabbat: Shabbat 119a
Rabbi Chiyya bar Abba and Rabbi Asa and Rava bar Natan learning together, and Rav Nachman listening and approving their words, and saying Shemuel approved their words, too: Eruvin 32b
Rabbi Chiyya bar Abba was careful not to see forbidden things, such as women emerging from doing laundry: Makkot 24a
Set of statements which were either Rabbi Yirmiyah's or Rabbi Chiyya bar Abba's: Megillah 2b-3a