I have popeye elbow from getting cellulitis. no injury. 3 weeks, only slightly better. will it eventually go away? motion range is normal

Olecranon bursitis : I think what you are describing is olecranon bursitis it can go away by itself over time but not always they have a bit of a tendency to get infected if it worsens seek evaluation.

Olecranon Bursitis: It might resolve with antibiotics, but sometimes the swelling will persist without infection from inflammation in the olecranon bursa which is under the skin at the tip of the elbow. It can be drained and sometimes treated with cortisone. Rarely the bursa will need to be removed with surgery.

Should do: Sometimes it takes time. Can try some light compression like a tubigrip-- if doesn't improve should see your doc.