to have (someone or something) down as ~ to estimate or consider (someone or something) in a certain way I hadn't had him down as inquisitive ~ I hadn't thought he was inquisitive It's related to putting something down in your notebook, writing it down. You check your notebook, and there is no note there saying that he is inquisitive, so you say you didn't have him down as inquisitive. CJ
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to have (someone or something) down as
~ to estimate or consider (someone or something) in a certain way
I hadn't had him down as inquisitive
~ I hadn't thought he was inquisitive
It's related to putting something down in your notebook, writing it down.
You check your notebook, and there is no note there saying that he is inquisitive, so you say you didn't have h
See this explanation in the idiom dictionary
https://idioms.thefreedictionary.com/have+(someone+or+something)+down+as+(something)