Is it common to remove a mucous cyst on lip and not put in stitches? (photo)

Thank you for your question and for sharing your photograph.  I see your area of concern and share your opinion on your treatment.  In most cases a mucocele is self-limited and resolves on its own but occasionally surgical excision is warranted.  Typically this entails a small in-office procedure to remove the lesion an sutures to close the wound.  Your appearance is not classic for a mucocele removal.  I would voice your concerns to your surgeon about your appearance and your pain.  The good news is that in most cases of an open lip wound that it tends to heal with a nearly imperceptible scar.