The order of offerings on a regular basis ceased in CE 70, when the Romans destroyed the Second Temple. It was briefly reinstituted during the Bar Kokhba revolt against Rome (in CE 132-135, see
http://www.us-israel.org/jsource/biography/Kokhba.html ). There are vague hints that it may have been reinstituted for an even shorter period during the brief reign of the Roman Emperor Julian ("the Apostate") in CE 361-363 (see
http://www.jewishencyclopedia.com/view. ... rch=Julian). It probably was reinstituted for a short time after CE 614, when the Sassanid Persians captured Jerusalem from the Byzantines & turned the city over to us. But this interlude came to an end when the Byzantines retook the city a few years later. Since then, nada.