Weather conditions in Dnister canyon are more comfort for tourism then in mountains. Here it's warmer, a more sun, less rains.
The weather on mountain ridge, as usual, is more severe than in valleys or in towns. Therefore you need take the attention on a weather, there are some different as in informer was indicated. It's a bit more cold, higher wind, strong rains.
Actually for an excursion in a cave a weather has no value, because under earth a stationary temperature and humidity is saved. Just in rainy weather on the way to the cave there will be more bog .
To see the current weather conditions you can look at the tourist webcames. But there are not muny usefull: Verkhovyna, Bukovel,Dragobrat, Trostyan.