I've heard that 'side of the lug' called the shoreline. FWIW, amongst the junk/tools on my bench I always keep a couple of dull razor blades and exacto blades. Dull enough to not cut things well but real good for shaving surfaces. Shaving goop off steel or glass or chrome. These might work on those shorelines. A dull exacto blade tip may give you a very controlled shave/scrape back to clean chrome. I say 'shave' as I lay the blade pretty flat to the surface and shave the surface. Will not be able to cut in but will catch the edge of whatever is stuck to the surface and break it away.
I also keep a couple of scraps of formica countertop material. Harder than finger nails but softer than steel. Another good scraper for chrome and aluminum surfaces. May help.