To dream of an alligator indicates that you are either too assertive (your bite is too large) or the opposite; you need to drop your timid nature and stand up for yourself. You will know which applies to you. This dream is healing and intends for you to get renewed strength to get a grip on things. Sharpen your teeth and like the alligator do not let go once you have sunk your teeth in. You should only bite off in life what you can chew but the first part is also to be able to take the bite at life. See teeth for more.
An alligator in a swamp represents your colon. Here the alligator symbolizes a health warning so look to the other symbols in the dream to indicate what you need to do to prevent it.