The phrase "at a premium" is often used to describe something that is high in demand, rare, or difficult to obtain. Synonyms for "at a premium" include words like scarce, valuable, costly, expensive, rare, in short supply, hard to come by, and in great demand. Other phrases that convey similar meanings include "in short order," "in demand," "at a premium price," and "at a premium rate." Whether you're talking about luxury goods, popular skills, or precious commodities, when something is "at a premium," it's always something that is highly coveted and desired.