In a manner relating to escape; in a way that suggests evasion or fleeing.
From 'escape' plus '-ing' (present participle) plus '-ly' (adverb marker). This is a rare literary formation describing actions done in an escape-like manner.
You might read 'he looked escapingly over his shoulder' in a Victorian novel—the adverb captures that nervous, furtive quality of someone about to flee!
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