The Lord’s Supper is a necessary means of grace for the Christian believer and is to be observed frequently on the Lord’s Day together with the preaching of the Word of God. We see the pattern for this in Paul’s letters and Luke’s writings (Cf. 1 Corinthians 11; Acts 20). To not observe communion when offered by your church is to excommunicate yourself (literally speaking). It is not a godly thing to do, but actually a proud thing to do.
This is because the body of Christ in a particular locality has been entrusted with the judgment to affirm or deny membership to persons, not the autonomous individual. So, when one individual refuses the Lord’s table it is that individual making a corporate judgment upon themselves that the body has yet to decide. Certainly there are cases with pastoral counsel where it may be advisable for a time to refrain from communion, but these are exceptions and a far cry from just making an autonomous self-reflective decision.
The point I am making is that the Lord’ Supper is a church ordinance to be observed by every member except in rare circumstances where you may need to seek counsel from your pastor. But generally speaking the leaving off of communion is not a decision we make as covenant members of the church.
Why is this important? Because it contributes to our growth, having to come to the table with examining our lives and repenting of sin, lest we eat and drink judgment on ourselves. It presses the body to accountability in a healthy way. When we regularly observe communion we are saying that God knows best; howbeit we do not take communion without serious reflection and commitment. God forbid that we would make decisions for ourselves that we have been commanded to perform except in rare cases where we seek counsel from the spiritual leadership of the body.
To be a member of a church is to be a communicant. That is, to be a member means we are in covenant with each other to participate in the church’s means of grace, including morning and evening worship (if the church has it) and the sacraments of communion and believer’s baptism.