I have several tomatoes that just sprouted in my raised beds. While W and I were attempting to put a cage over one, a branch broke off. It was full of blooms, and I could not bear to just toss it away. I immediately took it in the house and placed it in a vase of water.
A little over a week later I had a plant loaded with roots and sporting a tiny tomato! This is a good example of why I plant all of my tomato plants as deep as possible. Those tiny hair looking things on the side of a tomato plant very easily turn into roots. A plant with good roots is a strong plant. Rather than being tossed aside that broken branch is now a plant!