How do i get rid of a cut under my earlobe it wont heal?

R/O CELLULITIS: Cellulitis is a superficial skin infection that can be caused after an abrasion . Keep the area clean and apply topical antibiotics. Seek prompt evaluation for potential need of oral antibiotics/X-ray /labs.

See a dermatologist: There are many possible diagnoses. Perhaps it is a skin cancer. Perhaps it is infected. A common cause for delayed wound healing is the mistaken use of peroxide, bacitracin, neosporin, etc. Only an exam by a professional will sort it out.