Greek framework extremely lacking (5)
I believe the answer is:
attic
'greek' is the definition.
(from ancient Athens or Attica)
'framework extremely lacking' is the wordplay.
'framework' becomes 'lattice' (lattice is a kind of framework).
'extremely lacking' means to look at the middle letters (letters on the extremes are removed).
The central letters of 'lattice' are 'ATTIC'.
(Other definitions for attic that I've seen before include "Greek - garret" , "top-flight accommodation" , "Floor" , "Tacit (anag.)" , "Loft room" .)