LIP, TO HAVE A ... FOR @ The Dictionary of Cork Slang, by John Beecher

Cork Slang, Like

A Dictionary of Cork Slang
by Seán Beecher

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z Introduction · Acknowledgements

LIP, TO HAVE A ... FOR

Construct: Noun

Definition: To have a great desire for (usually drink).

Use: He has a great lip on him for drink.
He has a great liking for alcoholic drink.

Derivation: Doubtful, but probably related to 'Lip', hence taste and appetite.
and note 'to taste'. (Wright)