Black rim after mole removal by shaving... Is it normal? (Photo)

I would suggest waiting about 4-6 weeks while this is still healing and seeing what is left after.  At that stage if there is still residual mole, see your treating doctor again for a review - they should be able to shave the residual mole off.  One of the problems with shaving moles, is that even though it is often the best cosmetic solution, there is a chance of residual mole cells being left behind and recurrence.  All the best.

At this point it's difficult to say whether the remaining coloration is some of the pigment from the mole itself or due to treatment after removal.At times doctors use silver nitrate to stop bleeding after removal and this leaves a black edge. Let the wound heal completely keeping ointment and a Band-Aid on it to speed the healing and then, if there is color left along the rim after it heals, return to the treating physician and have him clean up the edge.

It is possible that the black color is discoloration from Monsel's solution. This is an iron compound that many of us dermatologists use to stop bleeding. ( Another advantage is that it kills bacteria)  It can cause a black discoloration. This should last for a few days. However, if this persists, then the problem is not due to Monsel's solution and it would be best to return to your physician to have the"rim" removed. It is certainly not serious.