It depends on what you want to run in the Linux environment. Since
crouton is
ChRomium Os Universal chrooT envirONment it's using a chroot rather than a virtual machine, so the overhead is a lot lower as Chrome OS and the Linux chroot shares the same kernel.
I've done the same thing on an HP Touchpad which runs webOS (also linux based) on an ARMv7 based tablet. There was an existing X server app and I installed a debian chroot using debootstrap.
I never tried any multimedia applications which might need a bit more CPU power to run at an acceptable speed. Of course, if you want to use something like Skype then you need a Chromebook with an Intel CPU - not ARM CPU based.