The readings are the vocab words お酒 and 飲む combined together into one. You can guess it's a kun'yomi reading because of the み on the end of 飲, which should make you think back to vocab words that use these kanji and the kun'yomi readings. If you can do that, you can read this word (and many others, probably!).
He likes dried cuttlefish, even though he is a kid, eh? He could be a boozer in the future.
Koichi likes drinking, but he isn't like an alcoholic.
He’s a heavy drinker but he doesn’t like red wine.