The Catholic Church has from the beginning allowed the faithful to receive Jesus in their hands or on their tongues. As far as crumbs being Jesus, the Church has learned that the crumbs are not Jesus, since the accidents of the bread and wine remain the same. But the crumbs were considered to be Jesus in Cyril’s time.
Are you so sure about that?
The Council of Trent defined:
“Si quis negaverit, in venerabili sacramento Eucharistiae sub unaquaque specie et sub singulis cuiusque speciei partibus separatione facta totum Christum contineri: an. s.” (Denzinger-Schonmetzer 1653)
“If anyone denies that the whole Christ is contained in the venerable sacrament of the Eucharist under each species and under every part of each species, when the separation has been made: let him be anathema”
The Catechism of the Council of Trent teaches:
“Neque vero illud praetermittendum, non solum in utraque specie, sed in quavis utriusque speciei particula totum Christum contineri” (Roman Catechism II, 4, 34)
“Nor should it be forgotten that Christ, whole and entire, is contained not only under either species, but also in each particle of either species.”
“Non minorem vero cautionem pastores adhibeant oportet in eo etiam mysterio explicando, quomodo Christi Domini corpus vel in minimi panis particula totum contineatur.” (Roman Catechism II, 4, 41)
“No less of caution should be observed by pastors in explaining the mysterious manner in which the body of our Lord is contained whole and entire under the least particle of the bread.”
The Catechism of the Catholic Church teaches:
“Christus est totus integer sub unaquaque specierum et totus integer in earum partibus, ita ut panis fractio Christum non dividat.” (Catechism of the Catholic Church, 1377)
“Christ is present whole and entire in each of the species and whole and entire in each of their parts, in such a way that the breaking of the bread does not divide Christ.”