Some researchers have argued for quantum mechanical phenomena being involved in and responsible for the efficiency of photosynthesis, or bird migration, and a range of other processes.
They are invariably controversial when first proposed and tend to retain skeptics to this day, so this question is not concerning itself with widespread acceptance, but simply the publication of a new case of that sort in a serious peer-reviewed journal, as long as it is not immediately shot down on experimental grounds.
Could you give more examples of what counts as quantum mechanical properties in a biological process for you?
All of biochemistry is quantum mechanics, so I assume you mean some specific effects.
@gigab0nus something where tunneling, entanglement, or any other strictly non-classical mechanism needs to be invoked to explain a biologial trait.