While reading through 1 Clement, I found a nice example of justify (δικαιόω) being used in two different senses (in very close proximity), which nicely parallels its use in the New Testament.
Justified by Works
In this first example, Clement is calling his readers to personal holiness and speaks of their being justified by works (ἔργοις δικαιούμενοι). He seems to have in view a demonstration rather than imputation of righteousness.
30 Seeing then that we are the portion of the Holy One, let us do all the things that pertain to holiness, forsaking slander, disgusting and impure embraces, drunkenness and rioting and detestable lusts, abominable adultery, detestable pride. (2) “For God,” he says, “resists the proud, but gives grace to the humble.” (3) Let us therefore join with those to whom grace is given by God. Let us clothe ourselves in concord, being humble and self-controlled, keeping ourselves far from all backbiting and slander, being justified by works and not by words [ἔργοις δικαιούμενοι καὶ μὴ λόγοις]. (4) For he says: “He who speaks much shall hear much in reply. Or does the talkative person think that he is righteous? (5) Blessed is the one born of woman who has a short life. Do not be overly talkative.” (6) Let our praise be with God, and not from ourselves, for God hates those who praise themselves. (7) Let the testimony to our good deeds be given by others, as it was given to our fathers who were righteous. (8) Boldness and arrogance and audacity are for those who are cursed by God; but graciousness and humility and gentleness are with those who are blessed by God.