Yes, I've heard 'new school'. 'new-fangled' is very American - not said elsewhere. Something to be aware of. He's 'up to date'/'with-it'/'cool'/'modern' are possibilities where I am. Some are probably local in usage.

A cliched phrase that an older person who is shocked/annoyed by changes in technology and social rules would use is “new-fangled”. “These new-fangled phones!” More generally, “edgy”, “radical”, “provocative” and possibly “punk(rock)”.

Neo or Trendy