subapostolic

from The Century Dictionary.

• Of, pertaining to, or constituting the period succeeding that of the apostles: as, subapostolic literature.

from Wiktionary, Creative Commons Attribution/Share-Alike License.

• adjective Pertaining the period after the apostolic age (the time of Christ's apostles) and the early Catholic age (when the followers of the apostles were gone) in early Christian church history, at the tail end of the first century and into the early years of the second century AD.