There's a colloquial term in some regions in English I've seen spelled hoik and hoick to refer to the noisy act of clearing the throat/nasal cavity of mucus/phlegm, usually just before spitting it out. This is different from what would in English normally be meant by the term "to clear one's throat", which is a quieter action a bit like a closed-mouth cough.
Since this doesn't seem to be considered rude or vulgar in Chinese culture as it is in many western countries, it's a lot more common. So I'm wondering there are Chinese terms for it. (Mandarin preferred but all Chinese varieties are of interest.)