Don’t look for the Magisterium to pronounce anything on this topic, --as the Early Church Fathers have already commented as far as prudently possible on both Scripture and tradition. If you Google “Fathers of the Church Antichrist” you will get a good set of listings which will outline their prudent if largely forgotten speculations on how the a/c might be recognized. But you search it out, --you can be sure of sound teaching if a teacher or writer has “Saint” before their name, and you can trust what they say about the last times more than any contemporary fundamentalist who writes best-selling books on “the Rapture”
You’ll rarely hear any Catholic Sunday sermons about the usefulness of reading and meditating on the Apocalypse, even when portions of it are read from the lectionary --“Fr Popular” is probably embarrassed, if not annoyed, by these readings. Nor from your local pulpit will you hear homilies on the topic of the “spirit of the Anti-Christ”; most modern priests (at least in the UK) are very shy of mentioning “sin” “Hell”, or even “Purgatory” although they are really great on “Social Justice” and “sustainable living” which often don’t include Church teaching on artificial contraception, the need to vigorously oppose pro -abortion, pro-euthanasia, and pro-homosexual legislation. However it’s not entirely the priests’ fault; they take their cue from Bishops who are (with a few heroic exceptions) pretty spineless. They have forgotten, or want to ignore, that the Church has the prophetic duty to be countercultural when Caesar abrogates to himself the things of God. (such bad laws are the spirit of the Anti-Christ alive and well in politics and social engineering according to the ideology of the moment)
However Pope B16 (a man with a spine as well as a brain and a heart) has in some of his Wednesday talks referred to a couple of prescient authors of great (if obscure) literature which he has said may well be guides to recognizing scenarios in which the a/c could manifest on the political scene. Great novels/literature – like other great art, deal with the truth of the human condition; and as such is of God; and the Holy Father knows that; and wants us to remember this in an age which most popular art is debased, trivial, narcissistic, and/or obscene.
You can also look at approved private revelations, which hint at “the lateness of the hour” for this (our) age; notably The diary of St Faustina , Fatima and Sr Lucia’s last writings, in which she says we are in certain chapters of the Apocalypse now (8 & 13 if I recall correctly), though most don’t recognize it. There was a mystic nun in Equador in the 17th century who had a lot to say about our times which is sobering as much of the messages about the future have come to pass already. You can find it in the archives page of the Spirit Daily Website --lotta good stuff there which you otherwise may never hear of. The index is alphabetical by topic so is quite useful. The only caveat I give is not to start accessing these articles unless you have several hours to be totally fascinated.