Old British coin (not pound) over time became the currency in Hungary (6)

I believe the answer is:

forint

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'the currency in hungary' is the definition.
I can't judge whether this definition defines the answer.

'old british coin not pound over time' is the wordplay.
'old british coin' becomes 'florin' (I've seen this before).
'not' suggests deleting specific letters.
'pound' becomes 'l'.
'over time' becomes 't' (abbreviation. I am not sure about the 'over' bit.).
'florin' with 'l' removed is 'forin'.
'forin'+'t'='FORINT'

'became' is the link.

Can you help me to learn more?

(Other definitions for forint that I've seen before include "Hungarian CURRENCY" , "Hungarian money" , "Hungarian capital" .)

I've seen this clue in The Hindu.

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