I think replacement is the best and safest option.
Center punch will make it snug for a short while, but then all the weight/load is supported on a few spots of raised metal, and soon enough they get pressed back where they were, and it's loose again.
Knurling might last a little while longer, or longer enough, but is also not the best solution.
I'd be hesitant to use loctite, some varieties may fix the bearing in one place, making it hard to remove, or impossible to adjust.
They do have some products that fill worn areas, and that might work if you fit the bearing alone, let it set, then remove the beairng, with the hope that the magic stuff stays put on the spindle and you still have ability to adjust bearing. I suppose JB Weld might be a similar "repair".
