Possible Clues:

• Our wet weather beginning to ease in country
• Country whose name was commonly preceded by 'the' before 1991
• Nation with wet weather to the East, not our country
• Kiev's land
• Instrument collecting water that's fallen in country
• Country in SE Europe
• Sheep and long-necked bird I hear in the country
• Wet weather in this country and Eastern part of Europe
• A former soviet state
• Country on the Black Sea