"I come to see what happens when I'm not here. But I had an impression from the Spirit of the Lord, to teach something to each of you and particularly the young men of the Aaronic priesthood. Because I saw something, in Sacrament meeting today, that told me that some of you don't understand something. The Sacrament is an ordinance of the Gospel. And because it's an ordinance, it needs to be done exactly right. Just like the prayers that the priests offer, they have to say the exact language in the prayers. Because it's a priesthood ordinance. Just like baptism. The Lord taught us, when we are baptized, the priest who officiates raises his right hand, and says, 'having been commissioned of Jesus Christ, I baptize you, in the name of the Father, and the Son and the Holy Ghost.' and then he immerses the person in the water. And if that's not done exactly that way, it has to be done again.
Now. When we partake of the sacrament, young men and young women, we are renewing the act of baptism. We're promising the Lord again, what we promised in baptism, that we'd keep his commandments. And also, he promises to renew the effect of our baptism, so that we're cleansed, from our sins, when we partake of the sacrament, if we've repented of them. But now there's something about the right hand. When we're baptized the priest raises his right hand, not his left hand, but his right hand. And when we partake of the sacrament, we partake with our right hand, not our left hand. And today, I saw quite a few of the deacons take the sacrament with their left hands. Don't do that. Because you set the wrong example for the congregation if you do that.
I know why you did that, because the sacrament tray was coming up on this side, and it was easiest to do that way. But a mother who's holding a baby, probably changes the baby, so she can use her right hand. And all of us should partake of the right hand, when we participate in that great ordinance of the gospel. That's what I felt impressed to share with you, and I've often mentioned that in other meetings, but I've never seen so many deacons take the sacrament with their left hand, so I thought I'd better perform my responsibility to share that with you. God bless you in the name of Jesus Christ, amen."
https://www.youtube.com/watch?v=rEqPEKy2FpE
But Dallin is overstepping the mark. He is, speaking over the pulpit in his capacity as a councillor in the First Presidency, portraying as doctrine something that is only his personal preference.
Joseph Fielding Smith, Church History and Modern Revelation, Vol 1, p.103
It is a very interesting study to discover how ordinances and doctrines became changed in the first centuries of the Christian era. These changes date back even to the days of the apostles. Paul frequently had to rebuke, warn and counsel with the members in the several branches which he was instrumental in organizing when on his missionary journeys. He severely rebuked the saints at Corinth for desecrating the holy ordinance of the Sacrament and turning it into a feast where the Spirit of the Lord could not be present.
The first changes that came, evidently came innocently because some enterprising bishop or other officer endeavored to introduce into his meetings, or among his congregation something new—just a little different, in advancement of that which was practiced elsewhere. This tendency is very apparent in the wards and stakes of the Church today.
For example, let us consider the ordinance of the Sacrament. It became the custom in many wards throughout the church to have the young men who passed the Sacrament all dressed alike with dark coats, white shirts and uniform ties. This could in time lead to the established custom of dressing them in uniform, such as we see done in some sectarian and other churches. Then again as they passed the Sacrament they had to stand with their left hand plastered on their backs in a most awkward manner. The priests or elders who administered these holy emblems had to stand in a certain way as the one officiating in the prayer knelt at the table. In some instances the Bishop stood in the pulpit with raised hands in an attitude of benediction. Other customs among the quorums and in the services of the wards were introduced. Members of the Church were instructed that they must not touch the trays containing the bread and the water with their left hand, but must take it in their right hand after partaking as their neighbor held the tray in his or her right hand. In the Priesthood in the wards, we now have "supervisors" directing the activities of the deacons and the priests. How long will it take before these supervisors are considered as a regular part of the Priesthood and it will be necessary to set them apart or ordain them to this office? So we see that we, if we are not careful, will find ourselves traveling the road that brought the Church of Jesus Christ in the first centuries into disrepute and paved the way for the apostasy.
I hope Dallin quickly repents and publicly sets the record straight - that he was speaking purely a personal opinion and that using the left hand to take the Sacrament is perfectly acceptable to God. Those deacons deserve an apology.