The alligator is read much like the crocodile: a primal force waiting in still water. Dream books add the idea of something that looks lazy but is fully alert, so it often stands for a situation or person you may be underestimating. An alligator in a swamp is read as tangled feelings with a sharp edge; one in your house or pool as a threat that has come too close to everyday life. Being chased by it is taken as avoiding a confrontation, while taming or calmly watching it is read as respecting your own instincts without being ruled by them. It can be worth noticing what feels calm on the surface but tense underneath.
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.