I am unaware of any African language, or any language in general, that only uses clicking sounds. Which one are you thinking of?
I've been trying to recall where I heard a "pure clicking" language, I've a feeling it was a bushmen docu from Botswana - and it might just be that the hunters used words that only required clicks, or I misheard, etc..
Anyway, http://listverse.com/2018/08/10/10-extraordinary-languages-t... and https://www.britannica.com/topic/click-languages mention Damin, which sounds (no pun intended!) like it might have been mainly composed of clicking sounds?
Perhaps what I heard was slang/dialect tailored to the activity, which IIRC was hunting.