In no-touch deployment, nothing is installed locally. The application is
downloaded over a network, and the application executes under a managed
environment. Little or no information is stored in a persistent state on
your local drive. This is sometimes a central tenet of so-called
"thin-client" computing.
In one-click deployment (sometimes called an "unattended install"), you
simply run an installer application and everything is automagically set up
for you on a local machine or group of machines.
HTH,
- k^2