I only sent my submission of Buttercup Sunshine... out on Tuesday. On Friday I got a nibble from one publisher showing interest and wanting to know more about me!
Really, really happy about this because I only targeted four, but also because it's good to know that authors can submit directly and get a positive response. What's good about this is it means a writer can get the contract first, then the agent second. This sounds an upside down way of doing things, but getting the top agents is tough, so approaching them with a deal, rather than just a manuscript, stands you in a very attractive light.