His name's sake That is, for his own honour, which would suffer much among men, if he should not preserve and deliver his people in imminent dangers. And this reason God allegeth, to take them off from all conceit of their own merit; and to assure them, that if they did truly repent of all their sins, and serve God with all their hearts, yet even in that case their salvation would not be due to their merits, but the effect of God's free mercy. To make you his people Out of his own free grace, without any desert of yours, and therefore he will not forsake you, except you thrust him away.
Related Commentaries of 1 Samuel 12:22
1 Samuel 12:22
22 For the LORD will not forsake his people for his great name's sake: because it hath pleased the LORD to make you his people.