Lacking time, change tiny bit of cash at first in town (7)

I believe the answer is:

ipswich

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'town' is the definition.
(I've seen this before)

I cannot understand how the rest of the clue works.

(Other definitions for ipswich that I've seen before include "County town of Suffolk" , "9 across town" , "Wolsey's birthplace" , "Suffolk town on the River Orwell" , "Country town of Suffolk" .)

I've seen this clue in The Times.

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