Personally, I had beer sitting on its yeast cake for months (in the cooled keg though), without any issue. Also, when bottle conditioning, you’ll have some yeast sediment at the bottom, which has never hurt the flavour in my experience, even a year or so of not always cool storage.

If you leave your beverage on the yeast for years, I suppose you risk autolysis, but I’d say you’re safe for anything up to a year or so.