Analysis of information sources in references of the Wikipedia article "Clement of Rome" in English language version.
You will afford us joy and gladness if being obedient to the things which we have written through the Holy Spirit, you will root out the wicked passion of jealousy
Clement definitely asserts his authority over the Corinthian church far away… That is extraordinary, and very similar to what we see in the Jerusalem Council in Acts 15:28 ("For it has seemed good to the Holy Spirit and to us to lay upon you no greater burden than these necessary things") and in Scripture itself… infallibility (divine protection from error and the pope as a unique representative of God).
The Church of Smyrna produceth her Polycarp placed there by St. John; The Church of Rome has her Clemens placed there by St. Peter…