Embarrasses fellow endlessly, then smiles (8)
I believe the answer is:
chagrins
'embarrasses' is the definition.
'fellow endlessly then smiles' is the wordplay.
'fellow' becomes 'chap' ('chap' can be a synonym of 'fellow').
'endlessly' means to remove the last letter.
'then smiles' becomes 'grins' (grinning is a kind of smiling. I am not sure about the 'then' bit.**).
'chap' with its last letter removed is 'cha'.
'cha'+'grins'='CHAGRINS'
Can you help me to learn more?
(Another definition for chagrins that I've seen is " disappoints".)