Take food into doorway for begging (8)
I believe the answer is:
entreaty
'begging' is the definition.
(to entreat someone is to beg or plead)
'take food into doorway' is the wordplay.
'take food' becomes 'eat' (to eat is to have some food).
'into' means one lot of letters goes inside another.
'doorway' becomes 'entry' (synonyms).
'eat' put inside 'entry' is 'ENTREATY'.
'for' is the link.
(Other definitions for entreaty that I've seen before include "suit" , "An earnest or emotional request" , "Supplication" , "Earnest plea" , "Teeny rat (anag.)" .)