The Love Song of J. Alfred Prufrock
What curls around the house and falls asleep?
What curls around the house and falls asleep
What curls around the house and falls asleep
I think he is referring to the haze of indecision and fear.
The haze is like a quiet, timid cat padding to and fro, rubbing its head on objects, licking its tongue, and curling up to sleep after allowing soot to fall upon it.