Mandivb - If instead of saying dog, we say it is your feelings of love and wanting to be with the person you care for, it can give you a clue to your dream. Every part of a dream is an aspect of your self put into images outside of you so you have a clearer understanding of what you are doing.
So in your dream it seems like your natural feelings always want to be involved in what you are doing. And you do not like to be away from those you love and care for, and that is why you were crying.
But there is a part of us that is our instinctive nature. In fact it is a part of our brain which creates those feelings. It is called the Mammalian Brain. So it is not simply a dream symbol. That part of us can only respond at a certain level, like your dog. Unfortunately it cannot help but wanting to get involved in everything you do. But at the moment it/you can get hurt feelings. So it needs to be educated in the ways of modern life. A way of doing this is to imagine yourself back in the dream, and seeing you stop it and explain the situation to it so you will not get hurt feelings.
Talk to it/you and it will get the idea – though it may take a while.
Tony