Question: i am travelling on club world from Singapore to London and i understand from their site that the maximum check in luggage is two items at 32kg each. As i am relocating to the country, i currently have more than 2 luggage but total weight should not exceed 64kg. Do you know if BA is strict on the 2 luggage policy and that i have to purchase additional luggage allowance regardless?

Answer: 
If you come with 5 pieces, yes it will be an issue. If you have 3 and you are loyal customer for them (with a status), then you have a good probability to be able to check-in all your luggage without any issue. If you ask me for a percentage, I would say 30-40%. They might also ask you to pay for something extra.
I thought I should mention luggage allowances are higher for nearly all international flights to & from the US (& Canada).