A peninsula reaches out into the water while staying joined to the land, so it is read as independence that keeps one tie to home. Dream books link it to venturing out without fully cutting loose.
Where in your waking life have you met something like this lately?
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.