My experience with BA refunds recently is that after the 2 months of chasing them to refund a credit card payment where they had charged me twice for the same ticket...
They will tell you it is 'processing' then the payment is only then made at the end of that particular month, hence in my case they held onto my money for a further and unacceptable 3 weeks?!
I should further add I received no further compensation for the £15 in credit card interest that had accrued during the entire time of this issue
For once I did not pursue I really could not be bothered and was far too busy at work to continue the aggrevation (very unlike me...must be getting old)
BA dont do 'customer service' any more not at a pax or at travel agency level...