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Removal of a facial lipoma can put the facial nerve at risk. However, this depends on the location and relation to the anatomy. Please see a board certified facial plastic surgeon who is familiar with facial anatomy for the best results. (S)he will use a nerve monitor to monitor the facial nerve during surgery.
Lipomas, by definition, are mobile and superficial masses, as a result of overgrowth of normal fat cells. The risk of PERMANENT facial nerve damage from lipoma removal is very low. Please see a board certified plastic surgeon or ENT surgeon for the best result.