Regarding the proper use of perichoresis to describe the unity of the church, Miroslav Volf strike just the right balance (against those who would paint him as a simplistic social trinitarian). He claims that “It is not the mutual perichoriesis of human beings, but the indwelling of the Spirit common to everyone that makes the church into a communion corresponding to the Trinity, a communion in which personhood and sociality are equiprimal” (After Our Likeness, 213).
What makes the church an image of the divine perichoresis of the Trinity is not that human beings qua human being interpenetrate one another in a way analogous to the trinitarian relations. Rather it is that the church, as the community indwelt by the triune God through the Spirit’s presence in each believer and in the Eucharist, brings about a pneumatic union of all ecclesial persons in the event of the church’s gathering. Because the same Holy Spirit indwells all Christians, all Christians are unified “in the Spirit”, being knitted together at the utmost level of intimacy and closeness. The church is a perichoretic community for this reason and this reason only.