House of Lords member whose title lapses at death (4,4)
I believe the answer is:
life peer
'house of lords member whose title lapses at death' is the definition.
(I've seen this before)
This is the entire clue.
(Other definitions for life peer that I've seen before include "Noble whose title cannot be inherited" , "House of Lords appointee" , "House-sitter" , "One whose title lapses at death" , "One's entitled" .)