noun
having the right to say; being in a position to criticize
Fixed expression used almost exclusively in negative or rhetorical contexts to mean someone is not in a position to say something, often because they are guilty of the same thing. Common patterns: 言えた義理ではない, 言えた義理か, 言えた義理じゃない.
お前にだけは言えた義理じゃないけど、もう少し早く来てほしかった。
I know I'm not really in a position to say this to you, but I wish you had come a little earlier.
自分が遅刻したくせに、人に時間を守れなんて言えた義理か。
You were late yourself, so you have no right to tell others to be punctual.