Refuse to admit some hidden yearning (4)
I believe the answer is:
deny
'refuse to admit' is the definition.
(I've seen this before)
'some hidden yearning' is the wordplay.
'some' indicates the answer is hidden within the clue (some parts of the word are used).
'DENY' is hidden within 'hidden yearning'.
(Other definitions for deny that I've seen before include "Abnegate" , "Gainsay" , "Forbid; not agree" , "Declare untrue" , "Refute, contradict" .)