I've retoned quite a few Lincolns over the years, even got through NGC and PCGS after failing the first time. I would NEVER use any sort of chemicals, other than some xylene to strip the surfaces of surface residues. All I do is put a small piece of cardboard in a window sill and set the coin on it (no holder obviously, just the naked coin). I flip it every once in awhile. This process can take as long as 2-3 years but it does work....but every coin is different.
This coin looks like it has oil or something else on it. It should be striped with xylene before starting the retoning process.