Occasionally coercing Nancy's friend to display Eastern art (7)
'eastern art' is the definition.
(I've seen this before)
'occasionally coercing nancy's friend' is the wordplay.
'occasionally' indicates alternate letters.
'nancy's friend' becomes 'ami' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
The alternate letters of 'coercing' are 'orig'.
'to display' acts as a link.
Can you help me to learn more?
(Other definitions for origami that I've seen before include "Creation of objects from paper", "Eastern art", "Jap. paper-folding art", "Making of paper shape", "Art originally created in simple materials to design bird forms".)