Are there non-surgical methods to get rid of lipomas?

Wound healing occurs in several stages, beginning with epithelialization of the wound. In most cases, wounds become watertight by 48 hours. During the ensuing time periods, scars can become thickened and pigmented based on the degree of melanocyte activation and tension on the wound. Silicone...

Lipomas are benign fatty tumors that occur under the skin and less commonly within the muscle. They are associated with mild discomfort and a lump underneath the skin. It is always best to talk to an expert plastic surgeon to determine whether the lipoma is possibly a cyst or a tumor or hernia....

This is an atypical presentation of a lipoma, but should be removed nonetheless.   I would recommend early excision from inside the mouth mucosa.

The absolute size of the lipomas in the axillae (armpits) is the most important determining factor for your recovery. The larger the lesions, the more likely you are to require more recovery time. Do not over-do it after surgery; allow your body enough time to heal.

A lump or mass in that area could be one of several possibilities, a Bartholin's cyst being one of them. At any rate, you indicated your doctor performed a rather brief exam, and your treatment cannot be undertaken based on that. Any growing mass needs a full explanation, so please see a doc...