Scrabble Dictionary

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Yes, glum is playable

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"Glum" Definition

noun

Chiefly British The blues. Often used with the: "Most other publications have got the glums” ( Tina Brown).
The quality or state of being moody, melancholy, and gloomy or an instance of it: "He was a charming mixture of glum and glee” ( Lillian Hellman).

adjective

Gloomy; dismal.
Moody and melancholy; dejected.
Broodingly morose .