The problem of constant throat clearing. is it a fragment?
Constant or excessive throat clearing could be caused by the effects of an allergy. It can also be a symptom of an underlying condition like a throat infection. You should talk to your doctor and probably have some tests conducted.
Probably a post nasal drip
Seeing your latest question, yes---it's a fragment.Sorry, to be more precise: Having answered your latest question and having seen its relation to this one, I would conclude that this phrase is actually a sentence fragment.