Director crosses out last in schedule (8)
I believe the answer is:
scorsese
'director' is the definition.
(Martin Scorsese director)
'crosses out last in schedule' is the wordplay.
'out' indicates an anagram (out can mean wrong or inaccurate).
'last in' indicates one should take the final letters.
The final letter of 'schedule' is 'e'.
'crosses' is an anagram of 'scorses'.
'scorses'+'e'='SCORSESE'
(Other definitions for scorsese that I've seen before include "Hit (by an idea)" , "Martin ___, director of Goodfellas and Raging Bull" , "Martin -, US film director (Taxi Driver)" , "Martin . . . . . . . ., film-maker" .)