Question Liz not starting grill (4)
I believe the answer is:
quiz
'grill' is the definition.
(I've seen this before)
'question liz not starting' is the wordplay.
'question' becomes 'qu'.
'not starting' means to remove the first letter.
'liz' with its initial letter taken off is 'iz'.
'qu'+'iz'='QUIZ'
(Other definitions for quiz that I've seen before include "Test of knowledge with short questions" , "Test consisting of short questions" , "Interrogate" , "Fun test" , "PUZZLE" .)