The stick insect survives by looking like a twig, so it stands for blending in, staying unnoticed and the stillness of someone who does not want to be seen.
When this appeared in your dream, what were you feeling?
My Cosmic Code has a private dream journal. Write a dream down and the app picks out the symbols in it, shows what dream books say about them and, over time, which words recur across your entries. The journal is stored on your device only.