Papias used the term “saved” in reference to believers and the expectation of going to heaven. He has a view of various levels of Christian attainment, but he seems to grant that believers are destined for heaven.
"As the presbyters say, then(3) those who are deemed worthy of an abode in heaven shall go there, others shall enjoy the delights of Paradise, and others shall possess the splendour of the city;(4) for everywhere the Saviour will be seen, according as they shall be worthy who see Him. But that there is this distinction between the habitation of those who produce an hundredfold, and that of those who produce sixty-fold, and that of those who produce thirty-fold; for the first will be taken up into the heavens, the second class will dwell in Paradise, and the last will inhabit the city; and that on this account the Lord said, “In my Father’s house are many mansions:”(5) for all things belong to God, who supplies all with a suitable dwelling-place, even as His word says, that a share is given to all by the Father,(6) according as each one is or shall be worthy. And this is the couch(7) in which they shall recline who feast, being invited to the wedding. The presbyters, the disciples of the apostles, say that this is the gradation and arrangement of those who are saved, and that they advance through steps of this nature; and that, moreover, they ascend through the Spirit to the Son, and through the Son to the Father; and that in due time the Son will yield up His work to the Father, even as it is said by the apostle, “For He must reign till He hath put all enemies under His feet. The last enemy that shall be destroyed is death.”
Not perfectly clear, but similar to what an evangelical would state in the use of the word “saved.”
Tatian addressing the Greeks:
"The soul is not in itself immortal, O Greeks, but mortal. Yet it is possible for it not to die. If, indeed, it knows not the truth, it dies, and is dissolved with the body, but rises again at last at the end of the world with the body, receiving death by punishment in immortality. But, again, if it acquires the knowledge of God, it dies not, although for a time it be dissolved. In itself it is darkness, and there is nothing luminous in it. And this is the meaning of the saying, “The darkness comprehendeth not the light.” For the soul does not preserve the spirit, but is preserved by it, and the light comprehends the darkness. "
Tatian affirms that the soul that acquires the knowledge of God does not die and is preserved by the spirit.
Polycarp affirms salvation by grace through faith, but he certainly seems to tie our salvation into our walking in the ways of the Lord and persevering.
I Clement opens:
“By reason of the sudden and repeated calamities and reverses which
are befalling us, brethren, we consider that we have been somewhat
tardy in giving heed to the matters of dispute that have arisen among
you, dearly beloved, and to the detestable and unholy sedition, so
alien and strange to the elect of God, which a few headstrong and
self-willed persons have kindled to such a pitch of madness that your
name, once revered and renowned and lovely in the sight of all men,
hath been greatly reviled.”
Clement claims that the elect of God can be known.
Clement also demonstrates an argument for sola fide in chapter 32:
"They all therefore were glorified and magnified, not through
themselves or their own works or the righteous doing which they
wrought, but through His will.
And so we, having been called through His will in Christ Jesus, **are
not justified through ourselves or through our own wisdom or
understanding or piety or works which we wrought in holiness of
heart, but through faith, **whereby the Almighty God justified all men
that have been from the beginning; to whom be the glory for ever and
ever. Amen.
What then must we do, brethren? Must we idly abstain from doing
good, and forsake love? May the Master never allow this to befall us
at least; but let us hasten with instancy and zeal to accomplish
every good work."
Sounds similar to the argument of Paul in Romans for faith alone followed by good works.