What does the quote, "Believe me, everything looks like a noose if you stare at it long enough" mean?
Out of context, the following quote has a very defined meaning:
Believe me, everything looks like a noose if you stare at it long enough.
What this quote means is that certain points in a person's life things begin to develop a certain meaning, possess a certain image for the interpreter.
For a person threatened by the noose, they would come to see the noose as representative of the unimportance of their life. Everything that they regarded they would do so with the thought that a bad decision could bring an end to their life.
The noose represents the "thing" which hangs over everyone. Every person has their own personal noose: money, pain, solitude, and so on. People who look at life in this way see the visual representation of their nemesis in every decision that they make in life.
As for the noose, it represents the fact that no matter where one turns, the noose represents the fact that another person holds their life in their hands.