In antiquity, the Bishop of Rome used to send a fragment of the Host, each Sunday, to each of the presbyters of the Roman title churches as a sign of his Communio with them ... and of his own Eucharistic presidency. It was commingled with the chalice at the Fraction; the origin, in fact, of the Commixture which has bravely survived Bugnini and still exists even in the Ordinary Form.
A little while ago, Bishop Andrew reminded us that it is not good enough just to have any old validly consecrated Chrism around; the Chrism in fact functions now as a expression and diagnostic of Communio. The C of E never has had proper incardination; the Tudor Establishment preserved the old medieval bureaucratic legalities (Gregory Dix liked to point out that the Church of England is riddled with more unreformed medievalisms than any other body in Christendom). But whose oils one uses in the radically liminal rites of Initiation shows which Bishop one is a presbyter of.
Sometimes our Traditionalist English bishops refer to their clergy as "Clergy who look to me". Perhaps a crisper, more theological, more sacramental, formula would be "Clergy who receive my Chrism".
I think it's a good point. 'Whose Chrism' is so much better an indication of a presbyter's ecclesial location than legal pieces of paper like licences. Chrism, after all, is not about lawyers but about the sacramental structure of Christ's Church.
Bishop Andrew, it seems, will have had about 150ish priests at his Chrism Masses. These PEVdoms seem to compare very favourably with the size of dioceses in some parts of the anglican Communion.