I live in Klövsjö since 7 years. Klövsjö is called the most beautiful village in Sweden and I can really understand why. The open landscape (thanks to the farmers taking care of their land and animals grazing), creating a beautiful view over the village, the lake and the Mountains. That must be the reason it's called that way.
Klövsjö is also a perfect spot for skiing, the skiing area is just about 3 km from the village and there is lots of appartments, cabins and one hotell just by the slopes. There is also many different tracks for cross country skiing in the area. Some of theme leading to a small cabin where you can eat a Swedish waffle and enjoy a cup of coffee, definitely one of the best excursions in the area.
A perfect hike both winter and summer time is to visit the Fettjeåfallet. That is one of the highest waterfalls in Sweden, higher than 60 meters. This is really worth the hike. When arriving to the foot of the waterfall you have the perfect view and a great place for a swedish fika. I can warmly recommend the cinnamon buns from the local bakery.
In the village of Klövsjö you can also find one of the best restaurants in Jämtland. The restaurant, that is also brewing their own beer, is called Humleliret. It's definitely on your bucket list for a visit in Klövsjö:)