I went to the dermatologist about a firm, solid lump on my arm. He said it was a lipoma and I could have surgery to remove it. Before I did something invasive- I tried out some natural remedies - none worked - till I tried painting Lugol's iodine on the lipoma. It started working immediately. The lump did not come back!
My wife had a lipoma on her back and after a bit or research decided to treat it by painting 3% lugol's iodine on it twice per day for a few days with a Qtip. Each day it got smaller and smaller until it was gone! I would consider giving this a try.