Does our Eda do this? The Ish Masliah (a Tunisian) says that on Beresheet 35:22 you should read the pasuk once with one set of te’amim ending with sof pasuk at “vayishma yisrael,” and then go back and read it again with a second set of te’amim with atnah at that point and continuing on through the true sof pasuk at “shenem asar.”