Dear Customer (name blocked for privacy),
The tissues of the mouth are in a constant state of renewal and replacement, as the surface cells slough off and new tissue moves up from the deeper layers-- much like the skin. The normal movements of the mouth play a surprisingly active role in the exfoliation and clearance of these surface tissues, which becomes most evident when the movements of the mouth are curtailed after surgical interventions. Patients will unconsciously limit the movements of their lips, jaws, and tongue when their mouths are in pain, which favors the accumulation of coatings on the surgical sites, the gums, and the tongue. The release of blood and serous exudate from the extraction sockets will also cause an accumulation of fibrin clot, which is no doubt the "white gunk" to which you refer. In short, the coatings on your tongue and in your sockets are normal, and will disappear as healing progresses.
However, I do think you should contact your dentist for assistance with managing your pain. If oral pain medications aren't providing sufficient relief, your dentist can place a sedative dressing in the sockets that will more reliably suppress pain until the natural healing process makes these measures no longer necessary.
Good luck!
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Mark Bornfeld DDS