Solomon makes a brilliant contrast here. In the following verse (v. 11), he says that the wealth of the rich is their "fortified city" (an illusion of security). But in verse 10, he points to the only real security.
The Name as Structure ("Fortified Tower")
God's "Name" isn't a magic word; it represents His character, His reputation, and His authority (Jehovah Jireh, El Shaddai). When everything crumbles down here, God's character remains unshakable. It's a tall Tower, above the flood level of problems.
Human Action ("Run to It")
God is the Tower, but we need to run. Faith is movement. It's not standing still waiting for the crisis to pass; it's moving intentionally toward God's presence through prayer and the Word. In a moment of fear, where do you run? To food? To your phone? To money? The righteous run to the Lord.
The Result ("Are Safe")
In Hebrew, the word for "safe" here means "set on high," "inaccessible." It doesn't mean the problem disappears, but that you're placed at a spiritual level where the problem can no longer touch or destroy you. The storm continues down below, but you're at the top of the Tower.