The speaker feels worn out by a world where nothing is said straight. Words carry hidden second meanings, and the lies are compared to spiderwebs: thin, sticky, and easy to get caught in without noticing. It's a picture of deception that creeps in quietly rather than arriving as one big betrayal.
Against that, the speaker asks for something small and ordinary. They don't want grand romance or dramatic gestures, just a person who "remembers to dust the dark corners and let in the light." The word "remembers" matters here. It suggests care shown through steady, everyday attention, not a single big act. The dark corners could stand for the hidden or uncomfortable parts of a life, and the wish is for someone willing to clear them out gently.
The mood is tired but hopeful. The title, "Harbor," hints at what the speaker is really after: a safe place to rest, where honesty and warmth are the default.