If something's raggedy, it's been used so much that it's starting to fall apart or become shabby. Face it, it's time to throw away that raggedy old sweater — it's full of holes!
Raggedy is used for beat up, tattered clothing, but it can also describe anything that's scruffy or unkempt. There's your older brother's raggedy beard, that raggedy patch of lawn that refuses to grow grass, or the raggedy teddy bear you've had since you were a baby and can't bear to part with. Raggedy started as 19th-century Southern slang, and in 1913 it was used to name the popular Raggedy Ann doll.