Get to come to know account that’s zany (8)

I believe the answer is:

acquaint

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'get to come to know' is the definition.
(I've seen this before)

'account that's zany' is the wordplay.
'account' becomes 'ac' (abbreviation).
'that's zany' becomes 'quaint' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'ac'+'quaint'='ACQUAINT'

Can you help me to learn more?

(Other definitions for acquaint that I've seen before include "Make someone familiar with" , "Get familiar" , "Inform" , "brief" , "Familiarise" .)

I've seen this clue in The Times.

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