New version of Socratic puzzle (8)
I believe the answer is:
acrostic
'puzzle' is the definition.
(I've seen this before)
'new version of socratic' is the wordplay.
'new version of' indicates an anagram.
'socratic' with letters rearranged gives 'ACROSTIC'.
(Other definitions for acrostic that I've seen before include "code?" , "Form of word puzzle" , "Puzzle involving a hidden message" , "Initial letter puzzle" , "a little puzzling" .)