Killing lion, inmate I suspect (11)
I believe the answer is:
elimination
'killing' is the definition.
(I know that elimination is a type of murder)
'lion inmate i suspect' is the wordplay.
'suspect' indicates anagramming the letters (a suspicious or unusual spelling).
'lion'+'inmate'+'i'='lioninmatei'
'lioninmatei' anagrammed gives 'ELIMINATION'.
(Other definitions for elimination that I've seen before include "Erasure" , "Deletion" , "heat results?" , "Rejection from consideration" , "Process of ruling out" .)