have come a long way
To have made significant progress or improvement. He can play entire songs now, and they sound pretty good! He's really come a long way from being barely able to hold a guitar.
have come a long way
1. Lit. to have traveled a long distance. You've come a long way. You must be tired and hungry. I've come a long way. Please let me rest.
2. Fig. to have accomplished much; to have advanced much. My, how famous you are. You've come a long way. Tom has come a long way in his career in a short time.
have come a long ˈway
have made good progress and achieved a lot: The manager has come a long way since she joined the company as a messenger.