I think it may be too far gone to clean up. It looks pitted . Try the vinegar as suggested and see what happens but I don't expect a big improvement.
I have had some luck with similar cases by sanding off the corrosion right down to the base metal and then priming and painting the arm, You can get 'chrome' looking paint but any color will do.
If there are holes with the pitting, they can be filled in with MarineTex or even Bondo and sanded smooth, then painted.