Dream about alligators chasing me is your concern about your current job security. You will overcome any obstacles and limitations. It is time to end a harming situation or relationship. This dream is a sign for your simple tastes. May be there is a social issue that you need to get involved in.
Alligators chasing me dream is a sign for your own personal history. Your emotional wounds are beginning to heal. You are going through some dramatic events in your life. It denotes your right leaning political views. One man's trash is another man's treasure.
If you dreamt about alligators chasing me:
Someone unexpected will show up at your workplace needing your help. It is not necessary for you to completely drop everything for this person, but you should indeed make an effort to help him or her. Work together and you will reach great success.