Lewis & Short

tūrĭfĭco, āvi, 1, v. n. [tus-facio], to burn incense, offer incense (eccl. Lat.), Aug. Ep. 87, 2.
Hence, subst.: tūrĭfĭcātus (thūr-), i, m., one that offers incense (to the gods), a term applied to those Christians who sacrificed to the heathen gods in time of persecution, Cyprian. Ep. 55.