John Calvin on Acts 2.42

[This description of worship was] the practice of the apostolic church…. Thus it became the unvarying rule that no meeting of the church should take place without the Word, prayers, partaking of the Supper and almsgiving (Institutes 4.17.44).

John Murray on Acts 2.42

The co-ordination [of the four elements] in Acts 2:42 implies that the Supper was an integral part of the worship of the early church, practiced by those who received the Word, were baptized, and were added to the disciples (Collected Writings, 2.380).

Francis Turretin on Acts 2.42 and 20.7

The practice of the apostolic church … constantly retained the breaking of bread. Hence the disciples are said to have “continued in the apostles’ doctrine and fellowship, and in breaking of bread, and in prayers” (Acts 2:42). Christians are said to have come together upon the first day of the week to break bread (Acts 20:7), i.e., to celebrate the holy Supper, which was consistently done on the Lord’s Day when they assembled to hear preaching and perform the other public exercises of piety. Hence the whole action is wont to be described by the breaking of bread. To say that this rite was indeed used here, but not as necessary, is to beg the question and take for granted what is to be proved. For on the contrary, we solidly gather the necessity of this rite (the breaking of bread) from the practice because the church could do nothing here, nor prescribe it to other, except what she had received from the Lord and to which she felt herself bound by the command of Christ. (Institutes of Elenctic Theology, 3.445-46).

Zacharius Ursinus with reference to Acts 20.7

And as God will have his word publicly preached and heard, so he will also have the true and lawful use of the sacraments observed and seen in the public assemblies of the church, inasmuch as both are marks by which the true church may be known and distinguished from all other religions and people. The sacraments, also, just as the word, constitute a part of the public worship of God in the church, and are means to stir up and cherish faith and godliness in the faithful. Hence the use of sacraments is most intimately connected with a proper observance and sanctification of the Sabbath (Commentary on the Heidelberg, 568).

John Owen with reference to Acts 20.7

How often is that ordinance to be administered? Every first day of the week, or at least as often as opportunity and conveniency may be obtained” (Works, 15.512).

John Stott on Acts 20.7

…the disciples met on the Lord’s Day for the Lord’s Supper … and the evidence is that the Eucharist, as a thankful celebration of the now risen Savior’s death, very clearly became the main Sunday service … word and sacrament combined in the ministry given to the church at Troas (Acts, 321).

I would agree with Glenclary, our church partakes of the Lords supper every week and it points us back to the need for Christ’s broken body and shed blood for the remission of our sins. This should never grow stale to those who need often the reminder of the cost that brought us peace with God.
We do have a tendency to allow things to become rote, but maybe because we have lived in this world of constant change where each day we need something new to satisfy us. We must fight this as we face an eternity of praising God.

That’s one of the common arguments against celebrating the Supper too frequently. I think a good response to that objection is that it wouldn’t apply to any other element of worship. We shouldn’t pray only once a month to keep it fresh and make it special. And we shouldn’t preach only once a month to keep it fresh and make it special. Etc.