This thought/question was inspired/triggered by CRIME - How to beat the BEAST successor?
It was posted as a comment but obviously it should have been posted as a question, so here it is again:
-- craft a request of length 500 bytes, based on the encrypted length, sniffer may guess first digit is 1.
-- creaft a request of length 600, sniffer may guess second digit is 2, and so on.
This will not depending on compression algorithm used.