A puppet on strings is traditionally read as control — being moved by someone else or holding the strings yourself. It points to questions of influence and free will in a relationship.
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.