Request space to get nipple pierced by hand (7)
I believe the answer is:
entreat
'request' is the definition.
(I know that entreat is a kind of plead)
'space to get nipple pierced by hand' is the wordplay.
'space' becomes 'en' (in printing, a space as wide as a letter 'n').
'to get' means one lot of letters go next to another.
'nipple' becomes 'teat' (synonyms).
'pierced by' indicates putting letters inside (some letters pierce a hole in others).
'hand' becomes 'R' (abbreviation for right, as in the right-hand side).
'teat' placed around 'r' is 'treat'.
'en'+'treat'='ENTREAT'
(Other definitions for entreat that I've seen before include "Beg earnestly, appeal" , "Beg earnestly, implore" , "petition" , "Beseech, implore" , "Beg earnestly or emotionally" .)