Embarrassment of short bloke half smiling (7)

I believe the answer is:

chagrin

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'embarrassment' is the definition.
(I know that chagrin is a type of embarrassment)

'short bloke half smiling' is the wordplay.
'short' means to remove the last letter.
'bloke' becomes 'chap' (both can mean a man).
'half smiling' becomes 'grin' (synonyms. I am not sure about the 'half' bit.).
'chap' with its final letter taken away is 'cha'.
'cha'+'grin'='CHAGRIN'

'of' is the link.

Can you help me to learn more?

(Other definitions for chagrin that I've seen before include "Disappointment, exasperation" , "Strong feeling of embarrassment" , "Acute annoyance or disappointment" , "Shame at having failed" , "Frustration at having failed" .)

I've seen this clue in The Telegraph.

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