Related to a breed of hunting dogs that are versatile hunters in all seasons; capable of hunting in various conditions.
From 'ever' plus 'sporting,' describing hunting dogs bred for year-round, multipurpose hunting. This appears in dog breeding terminology, particularly in British English.
Dog breeders love compound names—'eversporting' describes dogs that can hunt any game in any weather, showing how people who know animals intimately create highly specific language to describe capabilities.
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