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if during that time, the report is delivered then I won't get my money back.
Not automatically from the bank, maybe (assuming this is being done under s75?)
Arguably, though, you have case under the consumer rights act, insofar as the service was not fit for purpose - timeliness is just as important of the report itself. You just might have to go the court route for that, or show a bit of teeth with your bank.
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