Cuckoo egg (3)

I believe the answer is:
nit
This might be a double definition.
'cuckoo' is the first definition.
The answer and definition can be both animals as well as being singular nouns.
Maybe there's an association between them I don't understand?
'egg' is the second definition.
(a nit is an insect egg)
Can you help me to learn more?
(Other definitions for nit that I've seen before include "Louse-egg" , "Egg of a head louse" , "Hair louse" , "Idiot, ass" , "Louse; fool" .)
