His comments follow confirmation from the British Bankers' Association (BBA) that banks will appeal against a high court ruling on unfair charges.
He said customers could reclaim unfair charges plus interest that have ocurred in the past six years and shouldn't hesitate.
He said: "But bank customers can get their own back. Submit your claims without delay so you can get your refund in full when banks run out of time and options."
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The BBA represents the interests of the UK's banking industry and has 223 members making up the world's largest international banking centre.
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