Later accepting a wild hug with evident amusement (8)
I believe the answer is:
laughter
'evident amusement' is the definition.
'laughter' can be an answer for 'amusement' (I've seen this before). I'm not sure about the 'evident' bit.
'later accepting a wild hug' is the wordplay.
'accepting' is an insertion indicator (inserted letters are accepted).
'a wild' indicates anagramming the letters.
'hug' anagrammed gives 'ugh'.
'later' going around 'ugh' is 'LAUGHTER'.
'with' acts as a link.
Can you help me to learn more?
(Other definitions for laughter that I've seen before include "It's said to be the best medicine" , "Howling" , "Hilarity" , "Infectious thing" , "Sound of amusement" .)