I revisited this and I am right although I rambled to get there.
The clue "Felt one's consuming lots of litres-I get AA round, right?"
The definition is as I said except a comma is not present. Felt, ones consuming lots of = milliner
The cryptic part is "Litres- I get AA round, right?
Litres I = LI ,Get AA (Milne) round =mil(LI)ne followed by R for right. Voila