@Bdun12
.... not enough info to determine what might be wrong. Are you sure the branches were WET, or might it be honeydew (sticky insect excreta) on the leaves. There is no physiological reason, other than being wet from an extraneous source (rain, dew, condensation ....) that branches should be wet. Too much and too little water in the soil both lead to less water being taken up via the root pathway and a drought response.
Please provide images of A) the entire plant and its pot, and B) areas on the plant most affected by what you're describing. Answering the questions Sue asked would also give us more to go on.
Al