ssh could have a grace period a la sudo

[Dave Yost]

Hi.

It would be nice to be able to configure sshd so that the following would work:

After a successful password-authenticated connection from client user 
x on client host y, subsequent connections from client user x on 
client host y within a (resetting) time limit would succeed without 
re-authenticating via password.

Perhaps this would be achieved by sshd sending the client ssh a key 
that the client would save in a file in its .ssh folder, to be used 
for authentication on subsequent connections. After a timeout (which 
resets on re-use), sshd would no longer accept this key. If the 
client tries and fails to authenticate with this cached key, the 
client deletes the stored-key file.

Dave