John Gill Commentary Psalms 112:6

"For he shall never be moved; The righteous shall be had in everlasting remembrance." — Psalms 112:6 (ASV)

Surely he shall not be moved for ever
Out of the heart of God, and from his love and affections; out of the covenant of grace, and from an interest in it; out of the hands of Christ, or off of him the foundation; out of the house and family of God; out of a state of grace and righteousness, into condemnation: and though he may be distressed by afflictions, yet not destroyed; and though he may be so shaken, as to fall from some degree of steadfastness in the faith, and into sin, yet not so as to perish everlastingly: the saint's perseverance is a sure and certain truth, and to be depended upon.

The righteous shall be in everlasting remembrance ;
with good men, and especially such whose names are recorded in Scripture: and even others are remembered after death; and for a long time after, their pious characters, sayings, actions, sufferings, works, and writings; and with God, who remembers his love to them, his covenant with them, his promises to them; has a book of remembrance for their thoughts, words, and actions; which will be remembered and spoken of at the last day, when forgotten by them; see (Proverbs 10:9) (Malachi 3:16) (Hebrews 6:10) (Matthew 25:35) &c.