1. making good progress and likely to become successful
an up-and-coming athlete/musician/actor
Something which is described with the adjective up-and-coming is likely to become fashionable make good progress or be very successful. You can apply the adjective up-and-coming two objects, places or people. An up-and-coming musician is someone who is likely to become famous or very well known for example. You will hear this phrase used often in the media or to talk about people in the public eye.