One's piercing is put on close to navel for part of Pride (7)
I believe the answer is:
lioness
'part of pride' is the definition.
Although both the answer and definition are singular nouns, I don't see how they can define each other.
'one's piercing is put on close to navel' is the wordplay.
'piercing' is an insertion indicator (some letters pierce a hole in a word).
'put on' is a charade indicator (letters next to each other) (some letters go on or after others).
'close to' suggests the final letters (the 'close' to the word).
The last letter of 'navel' is 'l'.
'ones' going into 'is' is 'ioness'.
'ioness' put after 'l' is 'LIONESS'.
'for' is the link.
Can you help me to learn more?
(Other definitions for lioness that I've seen before include "Predator" , "Female carnivore" , "It's beastly" , "Queen of beasts?" , "Female pride member" .)