A search to the east of pet cemetery (8)
I believe the answer is:
catacomb
'cemetery' is the definition.
(I've seen this before)
'a search to the east of pet' is the wordplay.
'search' becomes 'comb' (combing is a kind of searching).
'to the east of' means one lot of letters go next to another (some letters go to the right of others).
'pet' becomes 'cat' (cats are often kept as pets).
'a'+'comb'='acomb'
'acomb' after 'cat' is 'CATACOMB'.
(Other definitions for catacomb that I've seen before include "crypt" , "Place to bury" , "underground vault" , "tunnel for burial" , "Burial chamber with vaulted tunnels" .)