Little girl eager for material (7)
I believe the answer is:
nankeen
'material' is the definition.
(nankeen is a type of material)
'little girl eager' is the wordplay.
'little girl' becomes 'Nan' (Nan can be short for Nancy or Anne).
'eager' becomes 'keen' (I've seen this before).
'nan'+'keen'='NANKEEN'
'for' acts as a link.
(Other definitions for nankeen that I've seen before include "Durable yellow cotton fabric, originally from China" , "trouser material" , "Yellowish stuff" , "Chinese cotton cloth" , "Buff colour(ed cloth)" .)