St Blaise rates only a commemoration in the Benedictine Office, but his feast is traditionally associated with the sacramental of the blessing of throats, important for those who sing the Office!
Here is a reading from an older form of the Roman Office on the saint:
This Blase was chosen Bishop of the city of Sebaste in Armenia, in which place he enjoyed a great reputation for virtue. When Diocletian began to make the Christians the objects of his insatiable cruelty, the Saint hid himself in a cave on Mount Argasus, where he lay till he was found by some of the soldiers of Agricolaus the President, who were out hunting. He was brought before the President, who commanded him to be thrown into irons. While he was in prison, Blase healed many of the sick, who were brought to him on account of his reputation of saintliness, and among others a boy who had been despaired of by the physicians, and who was at the point of death, from a thorn which had become fixed in his throat. Blase appeared twice before the President, but neither cajolements nor threats could induce him to sacrifice to the gods. He was first beaten with rods, and afterwards put on the rack, where his flesh was mangled with iron combs. At last his head was cut off, whereby he finished a noble testimony to the faith which is in Christ our Lord. He bore witness on the 3rd day of February, (in the year of salvation 316)