A he-man gives a little cough (4)

I believe the answer is:

ahem

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'gives a little cough' is the definition.
I can't tell whether this defines the answer.

'a he-man' is the wordplay.
'man' becomes 'm'.
'a'+'he'+'m'='AHEM'

Can you help me to learn more?

(Other definitions for ahem that I've seen before include "Noise used to attract attention" , "that's said to attract attention" , "Attention-getter" , "Excuse me!" , "attention-seeker?" .)

I've seen this clue in the Evening Standard.

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