Anacletus of Rome
Irenaeus places Anacletus after Linus in the Roman succession.
Primary sources
Irenaeus continues:
Irenaeus's Roman sequence places Anacletus after Linus.
The blessed apostles, then, having founded and built up the Church, committed into the hands of Linus the office of the episcopate. Of this Linus, Paul makes mention in the Epistles to Timothy. To him succeeded Anacletus; and after him, in the third place from the apostles, Clement was allotted the bishopric.
Passage context and translation
Irenaeus gives the Roman sequence inside an argument against secret Gnostic teaching. His passage identifies succession of office but does not name a consecrator at every link.
Before the excerpt
the faith preached to men, which comes down to our time by means of the successions of the bishops
After the excerpt
This man, as he had seen the blessed apostles, and had been conversant with them