Has anyone heard of a Kaddish said for teachers and students? I have heard it called "Kaddish Talmidim" but find nothing online at all.
Perhaps you're thinking of Kaddish d'Rabbanan, whose text includes:
עַל יִשְׂרָאֵל וְעַל רַבָּנָן. וְעַל תַּלְמִידֵיהוֹן וְעַל כָּל תַּלְמִידֵי תַלְמִידֵיהוֹן. וְעַל כָּל מַאן דְּעָסְקִין בְּאוֹרַיְתָא. דִּי בְאַתְרָא קַדִּישָׁא הָדֵין וְדִי בְכָל אֲתַר וַאֲתַר
For Yisrael, and the Rebbeim, and their talmidim, and the talmidim of those talmidim, and for all who toils in Torah, whether in this place or in any other place... [may they have various blessings, and say Amen].