Put out sepulchre that's cut in stone (9)
I believe the answer is:
aggravate
'put out' is the definition.
(thesaurus)
'sepulchre that's cut in stone' is the wordplay.
'sepulchre' becomes 'grave'.
'that's cut' means to remove the last letter.
'in' indicates putting letters inside.
'stone' becomes 'agate' (I've seen this before**).
'grave' with its last letter taken away is 'grav'.
'grav' going within 'agate' is 'AGGRAVATE'.
(Other definitions for aggravate that I've seen before include "Make more serious" , "Make a bad situation worse" , "Exasperate or exacerbate" , "Make (a problem) worse" , "Annoy; make worse" .)