but from your descreption, it is very difficult to answer sitting here and without examining.
but pulsating uvula
can occur in leaky heart valves, if at all what you say is really pulsating roof of the mouth.
really difficult to say.
it is advisable to see your doc in person and rule out significant conditions as Aortic Regurge etc..
thanks for asking and hope I have not scared you.
pl. keep me posted.