The best alternatives to Tidbyt are Weather Puppy App, Pixel Weather, and Dockface. If these 3 options don't work for you, we've listed a few more alternatives below.
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The puppy changes based on the weather and time. Includes 10-day and hourly forecasts, radar, detailed current conditions, moon phase, and much more! Weather forecast provided by WeatherUnderground.
Simple and cute weather forecast application with pixel style :) Displays current location weather, including temperature, relative humidity, probability of precipitation, precipitation, wind direction & speed, UV index and pressure.
Appy Weather is the most personal weather app. Five years after its beloved release on Windows Phone, it's finally available on Android. Sequels don't always suck)