Shooting star, such as Brezhnev (6)
I believe the answer is:
leonid
This clue is a double definition.
'shooting star' is the first definition.
(the Leonids are a group of meteors)
'brezhnev' is the second definition.
(Leonid Brezhnev)
'such as' is the link.
(Other definitions for leonid that I've seen before include "Part of swarm" , "-- Brezhnev, former Soviet leader" , "Brezhnev's name" , "Small meteor" , "Brezhnev, for one" .)