It is thought that eyelid skin has the propensity to grow faster than other areas, which can lead to skin growing into the tract that the sutures take. This can lead to skin being embedded within the deeper layers of the skin and eventually cysts within the suture line. Hence, many doctors prefer to remove sutures from the eyelid earlier than later.
Some doctors prefer to remove the eyelid sutures 3-4 days later. Others prefer to wait longer and take them out 5-6 days after the procedure to prevent the incision from opening up. So, the balance is cyst formation on one end and opening of the incision on the other end. Other issues include that when the sutures are in longer there is more chance of scarring and creation of train track type of appearance.