Sure, on the cusp is a period of around three to ten days, depending on who you believe, where an individual has elements of both the signs, the being existed and the one being entered. So I'm quite close to Leo and probably have some Leo characteristics despite being overall Virgo. (Plus that's just the sun sign. You should look at your moon and other planets too if you're going to get very into astrology!)
http://en.wikipedia.org/wiki/Cusp_%28astrology%29#Libra.2FScorpio fits quite nicely.