Refuse to admit some hidden yearning (4)
I believe the answer is:
deny
'refuse to admit' is the definition.
(thesaurus)
'some hidden yearning' is the wordplay.
'some' says the answer is hidden in the clue (some of the 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" .)