A free app for Android, by MACHAPP Software Ltd.

Digital Clock & World Weather is an application that displays the current time, date, and weather conditions in your country. The app can be customised using built-in skins.

It also offers wind and UV index forecast, moon phases, weather graphs, and more. 

The application supports a 4×2 widget that shows current weather and temperature conditions, alarms, as well as the time and date. Plus, you may personalise it using downloadable content.

The app itself is free, but you can pay to get more information and extended forecasts.