Delicate-looking friend, an egghead (4)
I believe the answer is:
pale
'delicate' is the definition.
(thesaurus)
'looking friend an egghead' is the wordplay.
'looking friend' becomes 'pal' (pal can mean a friend. I am not sure about the 'looking' bit.).
'an egghead' becomes 'e' (head letter of 'egg').
'pal'+'e'='PALE'
Can you help me to learn more?
(Other definitions for pale that I've seen before include "Light-coloured" , "Light in colour" , "Lightly coloured" , "White" , "beyond which one is out of line?" .)