Milk used to be home-delivered in Britain--the act of companies touring universities to attract recent grads to apply is known informally as a milkround.
I still get milk and eggs (and sometimes some pretty bad knock-off Irn Bru) from ours. We're in the semi-countryside just outside of Leeds, and it's not at all unusual around here. Wonderful service!
I think that it's some combination of a milk round being a boring and repetitive job (for those who have to go between all the universities) and some sort of youth/milk imagery. I think it's anachronistic as the only person I have ever heard refer to it in that way is my Dad.