No, they don't respawn. They do not reproduce continuously. Try ancient friut they take a while to get going, but they work pretty well. Also if you have a couple of seed makers sweet gem barries work pretty well in the green house.

Do sweet gem berries keep growing?

Additionally, this berry will only grow in the fall, unless you plant it in your greenhouse. Sweet gem berries will not continue to grow after harvest, meaning you will need to plant rare seeds again.

What is the most expensive fruit Stardew?

The Ancient Fruit nudges out the Sweet Gem Berry as the most valuable crop in Stardew Valley because it doesn't need to be replanted, and grows through all seasons in a greenhouse.