Oddly, brewer always seems busy (3)

I believe the answer is:

bee

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'always seems busy' is the definition.
I can't tell whether this defines the answer.

'oddly brewer' is the wordplay.
'oddly' means one should take alternating letters (letters in the odd-numbered positions are used).
The alternating letters of 'brewer' are 'BEE'.

Can you help me to learn more?

(Other definitions for bee that I've seen before include "Honey generator" , "Busy buzzer" , "A honey-maker" , "Creator of honey" , "Flying insect (often busy)" .)

I've seen this clue in The Irish Times.

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