I don't think you can be compensated because it is 'as viewed' when you sign the actual contract- so if you have signed, then you have to take it or just lose the deposit.
I'd be thinking a) can I afford to lose the deposit or is this my one and only chance of getting a property? (if no chance of other deposit, then you kind of have to take this one) b) is the dirt/lack of cleaning clouding how I feel? c) what's the scale of any damp- both properties I've acquired in the past couple of years had a bit of a musty smell and one small patch of wallpaper looking a bit damp, but when I moved in, whacked the heating up, aired the place daily, there have been no issues. I would buy dehumidifier and clean down any mould in bathroom, bathroom windows always open.
If it's been left a little while, even a month, houses get a musty smell and this doesn't always indicate a full on damp problem.
In rentals, damp is a massive problem, sometimes for structural reasons e.g. water getting in, but often because when people aren't in their own homes, they can be more lax about the actions needed to block out damp or reluctant to do things like buy dehumidifiers or a tumble drier for clothes (for understandable money reasons). My agents are hot on making sure that tenants understand bathrooms have to be aired, otherwise there will be mould, within six months, it's just what happens. Also, things like air bricks, proper fans, ventilation, are less within your control as a tenant and landlords can be lazy at taking action over that.
You may know all this, and have tried everything in your prior property, but I wouldn't panic just yet that there's a huge damp problem when it might be very fixable.
Wear and tear and dirt, unfortunately a two year lived in house won't look the same as a brand new decorated one, but hopefully with some cleaning and some painting, this will be ok.