Some people anticipate request (4)
I believe the answer is:
plea
'request' is the definition.
(plea is a kind of request)
'some people anticipate' is the wordplay.
'some' says the answer is hidden in the clue (some of the parts of the word are used).
'PLEA' is hidden within 'people anticipate'.
(Other definitions for plea that I've seen before include "Request - appeal" , "Appeal - with bargaining?" , "Lightly char" , "Earnest entreaty" , "Humble request for help" .)