Dear daisyma,
It is always possible for a plug to dislodge. You might want to consult your eyeMD to have him/her check the patency of your outflow path. It is also possible you might need plugs in the superior as well as inferior tear ducts. Some other options include oral omega 3’s, eye lubricating ointments, and Restasis. Watch out for preservatives in drops as these can worsen the feeling of dryness.
Dr. Feldman
Sandy T. Feldman, M.D., M.S.
ClearView Eye and Laser Medical Center
San Diego, California