Vagrant snatching current file (7)
I believe the answer is:
dossier
'file' is the definition.
(I've seen this before)
'vagrant snatching current' is the wordplay.
'vagrant' becomes 'dosser' (informal term for a vagrant).
'snatching' is an insertion indicator.
'current' becomes 'I' (symbol for electric current).
'dosser' going around 'i' is 'DOSSIER'.
(Other definitions for dossier that I've seen before include "File of documents" , "A collection of papers" , "Set of papers" , "brief" , "Collection of documents on a topic" .)