Not sure where this goes, feel free to move, delete, or tell me where to put it if this won't do.

On my 1958 Chevy where the wiper transmission goes through the cowling the shaft is binding in the housing.

I've cleaned this once and lubricated it with some graphite several years ago, but now it's binding again.

Is there a better way to lubricate the shaft, or is it time for a new part?