Eggheads showing foolish elitist leaning (14)
I believe the answer is:
intelligentsia
'eggheads' is the definition.
(I've seen this before)
'foolish elitist leaning' is the wordplay.
'foolish' indicates an anagram.
'elitist'+'leaning'='elitistleaning'
'elitistleaning' anagrammed gives 'INTELLIGENTSIA'.
'showing' acts as a link.
(Other definitions for intelligentsia that I've seen before include "Highly-educated people" , "Brainy group" , "they think" , "Eggheads" , "Bright bunch" .)