I get my best fall tomatoes off my old spring plants. Sometimes i'll cut them back, sometimes not, when it gets hot and just let the plants sit....once it starts cooling off late summer they'll kick back in. The smaller the tomato the better they produce. Dont expect a big crop of red tomatoes, most are going to be green but the majority will ripen over time if you pick and store.... I wouldnt go to the trouble of pulling the plant up and hanging it, just pick the tomatoes and store in your garage and eat them as they turn. Or make tomato relish. If you have tons of green cherry tomatoes, chop into small pieces like a relish and make tomato relish out of it..love it in small pieces. I have tons of cherry tomatoes right now, i'm going to pick and hope some ripen since i have years of relish from years past...
To keep tomato plants alive all winter you'll have to provide artificial light and heat, dont bother trying to keep plants alive in hopes of tomatoes year round...its not worth the trouble..