A fee or charge for checking something; the act or process of checking or examining.
From 'check' plus the suffix '-age' (the act, process, or result). This follows a common English pattern for creating nouns that describe services or processes.
Baggage checkage fees at airports are a modern annoyance, but the suffix '-age' itself shows up in dozens of service charges—postage, carriage, storage—revealing how medieval commerce created language for quantifying services.
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