If something is occurring with the uvula in a dream, it should be considered as describing in symbolic terms your ability to fully express yourself.
Uvula
The uvula is the thing that hangs down in the back of your throat. Its function is primarily related to the articulation of certain sounds within the range of human speech. It can often swell when there is an infection being fought by the body and, when stimulated, can cause a gag or retching reflex.