Cancelled subscription a few days ago after 15 + years. I wonder if they will phone with special offers in the next week or so ? 
I would say no, it'll be just before the end of your notice period.
Friend of mine cancelled his because he had to due to not having a job any more, they took the cancellation with no offer of discount, then just before the month was up rang him and offered free for few months, so he took it and will be cancelling just before they want paying again.
He like me has been a customer for very nearly 20 years!
Which peed me off when I wanted to change my white sky+ box to replace my broken multi room box and get a new box that would get the on demand/ catch up stuff, that was free to new customers.
Got told it was £249 for the new box! Or if I took out HD package at £10/ month for 12 months it was free. Online tosspot couldnt understand I dont have an HD telly, wasn't going to be getting one in the near future so your 'free' box was actually costing me £120 and the HD channels would actually be just be normal channels that I was already paying for!
Ended up buying a box off Ebay for £30, phoning up and getting the old multi room box card programmed to the new box and hey presto 2 boxes in 2 rooms and i can get all the catchup bits I wanted in the first place and both have the record facility thanks to a replacement 8 way LNB
