Call medicine dispenser a braggart (4,7)

I believe the answer is:

name dropper

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'braggart' is the definition.
Both the definition and answer are singular nouns.
Perhaps you can see a link between them that I can't see?

'call medicine dispenser a' is the wordplay.
'call' becomes 'name' (as in calling or naming someone something).
'medicine dispenser' becomes 'drop' (I can't justify this - if you can you should give a lot more credence to this answer).
'a' becomes 'per' (eg 'one a day' means 'one per day').
'name'+'drop'+'per'='NAME-DROPPER'

Can you help me to learn more?

I've seen this clue in The Daily Express.

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