In a manner characterized by gasping; with audible, labored breathing or sudden inhalations.
From gasping (present participle of gasp) plus adverb suffix -ly. Follows standard English patterns for converting participles to adverbs.
Gaspingly is the kind of word you see in 19th-century novels describing dramatic moments—'he spoke gaspingly' meant he couldn't catch his breath between words, adding intense emotion to dialogue.
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