So... is Houma Hunter Lime finished or not?
NO, it is not finished.
Why?
MangaUpdates contains information about the anime adaptation and indicates that it is incomplete.
Watching Order (by release date)
Here you have all the anime relations we detected ordered by release date, so you can see the reason for this status in context and also use it as watching order.
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Synopsis
For a long time, the human and magic worlds have been separate but peaceful.
That peace is threatened when powerful magical spheres are stolen from the magic world and scattered on Earth.
These spheres cause household objects to turn into monsters fueled by negative emotions.
A team of three – Boss, Lime, and Poogie – are sent from the magic world to retrieve the spheres before it's too late.
They must work quickly to capture the spheres and restore the balance between the two worlds.