I got Edit and Continue to work in VS 2015 on my ASP.Net MVC 4 project. David R posted a link in his answer (here again for completeness)
http://blogs.msdn.com/b/visualstudioalm/archive/2015/04/29/net-enc-support-for-lambdas-and-other-improvements-in-visual-studio-2015.aspx
The page says that VS2015 supports Edit Continue on Attach To Process if an environment variable is set during load of the runtime. The way I understand it is that this variable cues in the CLR to allocate a little bit of extra memory which is needed for Edit and Continue to work.
Now the trick is to get the w3wp.exe process running your application pool to load with this variable. On any other process I would just open a command line and do
set COMPLUS_FORCEENC=1
ExeToDebug.exe
But I couldn't find a way to directly run my app pool with an environment variable. I posted a workaround (as CSUdev) on this page, that is a little hack which sets a machine level environment variable, resets iis, calls a url which starts the app pool, then clears the machine level environment variable.
http://forums.iis.net/p/1195182/2115550.aspx?p=True&t=635895941266217500
The OP in that thread said he used to have this working in prior versions of IIS by setting Environment variables for the user profile that the Application Pool would then load when its user profile loaded, although he wasn't able to get the working in IIS8 (might be related to WS2012/Win8 security settings in the OS).
tldr; here's how I got it working
Wrote bat script...
#set Edit n Continue variable (global... :/ )
setx /m COMPLUS_FORCEENC 1
#kill/restart existing app pools
iisreset
#force app pool to start up (and use the Edit & Continue var)
#you can download wget or curl (instead of start)
#if you don't want this to open up your default browser every time
start "http://localhost/urlForAspNetApp"
#clear Edit n Continue var
setx /m COMPLUS_FORCEENC ""
Then VS2015 attach to process w3wp.exe.
Bam. Edit and Continue. Thanks MS & VS2015 folks!