It's pleasant embracing Eastern relative (5)
I believe the answer is:
niece
'relative' is the definition.
(niece is a kind of relative)
'it's pleasant embracing eastern' is the wordplay.
'it's pleasant' becomes 'nice' ('nice' is associated in meaning with 'pleasant').
'embracing' means one lot of letters goes inside another.
'eastern' becomes 'e'.
'nice' going around 'e' is 'NIECE'.
(Other definitions for niece that I've seen before include "Female relation" , "Brother's girl" , "Daughter of a sibling" , "Female family member" , "[PRIEST'S] daughter?" .)