Menahem has a little cough (4)
I believe the answer is:
ahem
'menahem has a little cough' is the definition.
I can't judge whether this definition defines the answer.
'menahem has a little' is the wordplay.
'a little' indicates the answer is hidden within the clue (a little bit of the clue).
'AHEM' can be found hidden inside 'menahem has'.
Can you help me to learn more?
(Other definitions for ahem that I've seen before include "Attention-grabbing expression" , "Interjection" , "Throat clearance to attract attention" , "Noise used to attract attention" , "Gentle utterance to attract attention" .)