Feeling of annoyance (7)
'feeling of annoyance' is the definition.
(I've seen this before)
This is the entire clue.
(Other definitions for chagrin that I've seen before include "Arching with annoyance and embarrassment" , "Arching with annoyed disappointment" , "Discomfiture" , "Feeling of vexation or embarrassment" , "Disappointment, exasperation" .)
(Other definitions for pique that I've seen before include "score at cards" , "Sudden irritation" , "Equip (anag.)" , "Nettle" , "Angry resentment" .)