The cat is taking a nap comfortably next to him ... and in response, she rests her head on his chin. This act of tenderness is a far cry from their initial scratch-filled interaction.
Meaning: A very short sleep. A nap means to sleep for a short while. A cat nap is even shorter, and 40 winks is shorter still. Use it: As sailors had to be alert at all times the best they could ...