Nowadays it is very common for Jews to name their children after the Patriarchs, Matriarchs, and Biblical heroes.
But it doesn't seem (to me) as though this was very common until well into the period of the Rishonim.
I base my assumption upon the distinct lack of famous Jewish leaders with such names as Avraham, David, Moshe, Aharon, and many others prior to that period*.
While I cannot state that I have convincing evidence that it was rare before the era of the Rishonim for Jews to name their children after the 3 Patriarchs, and it would certainly be odd if the Talmud, a collection of male-dominated discussions, randomly mentioned that, oh, by the way, our mothers and sisters are mostly named after the 4 Matriarchs and Dinah, I'd expect that, if there were a high incidence of naming children after these major figures, there would also be a higher incidence of major leaders appearing in literature, spanning Na"Ch through the Geonic era, bearing those names.
Assuming my observation is correct, when did the trend begin to change, and was there a reason people largely did not name their children after these heroes, maybe out of Kavod, for example, like, LeHavdil, heroic sports figures having their jersey numbers retired by their teams?
*I do have to concede that there are some notable exceptions, including several Tannaim named Yose, Yehoshua', and Yehudah (among others). Another major exception was the infamous Menashe, who, I can only assume, was named after the much more positive role-model that was the son of Yosef born in Egypt. There are also other Tannaim named after some lesser characters mentioned in the Torah, such as El'azar, and even the important (quasi-)villain Yishma'el.