en_tn/1ti/04/16.md

Give careful attention to yourself and to the teaching

"Conduct yourself carefully and give attention to the teaching" or "Control your own behavior and give attention to the teaching"

Continue in these things

"Continue to do these things"

you will save yourself and those who listen to you

Possible meanings are 1) Timothy will save himself and those who hear him from God's judgment or 2) Timothy will save himself and those who hear him from the influence of false teachers.