Characterized by quick action and efficiency; ready and willing to dispatch or send someone out promptly.
From dispatch + -ful (full of). This is a rare, archaic formation created by adding the productive suffix -ful to the noun 'dispatch' to describe something done with dispatch (speed and efficiency).
This word is so old and unusual that you'll almost never see it in modern writing—it's an example of how English had ways to form new adjectives that we don't use anymore, having preferred words like 'efficient' or 'prompt' instead.
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