Crimson Clover

I didn't want it to end...but did it need to? No! I knew there were "Winter" crops but living in places like Santa Fe and Taos, NM - it seemed unrealistic to think I could grow those. Now I'm in Albuquerque and the Crimson Clover I planted in late October is turning into a lush green meadow. In Spring - I will turn it under to provide Nitrogen to the soil - or maybe I won't..... I'm thinking I could just dig areas out and plant things and leave the clover in as an on-going cover crop. Is that doable?