Lobbies for a brief hearing (5)
I believe the answer is:
atria
'lobbies' is the definition.
(plural of atrium, type of hall or lobby)
'a brief hearing' is the wordplay.
'brief' means to remove the last letter (a shorter or briefer version of the word).
'hearing' becomes 'trial' (as in a court case).
'trial' with its final letter taken off is 'tria'.
'a'+'tria'='ATRIA'
'for' is the link.
(Other definitions for atria that I've seen before include "Roofed central courts" , "Central courts, halls" , "Central courts (in ancient Rome or shopping arcades)" , "Covered courts" , "Open-roofed courts" .)