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The Collaborative International Dictionary
Dogsleep

Dogsleep \Dog"sleep`\, n.

  1. Pretended sleep.
    --Addison.

  2. (Naut.) The fitful naps taken when all hands are kept up by stress.

Wiktionary
dogsleep

n. 1 feign sleep. 2 (context nautical English) The fitful naps taken when all hands are kept up by stress.