JUN

Yes. "JUN" is in the ENABLE word list, accepted by Words With Friends and most open Scrabble apps. It scores 10 points in Scrabble and 14 points in Words With Friends.

In Scrabble, "JUN" is worth 10 points before bonuses. In Words With Friends, it's worth 14 points. Played on a triple-word-score, the Scrabble value becomes 30.

A monetary unit of North Korea and formerly of South Korea, equal to one hundredth of a won.

No, "JUN" has no anagrams in the ENABLE dictionary — it's the only word that can be formed from its exact letters.