Persimmons are astringent until fully ripe, then very sweet, so the tree is read as patience and the reward of waiting. In East Asia it is also a symbol of joy and contentment in the home.
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.