This would be .... unpleasant in a standard zsh prompt (or bash, or other shells).
I suggest you'd be better off using Gnu Screen.
Screen can have a status line which can show the time.
Here's an example screenrc scroll down to "Red Hat Magazine A guide to GNU Screen" to see the sample (i'll reproduce that here) which will, when screen is run, show the current time in the lower right corner of the terminal:
~/.screenrc
hardstatus alwayslastline
hardstatus string '%{= kG}[ %{G}%H %{g}][%= %{=kw}%?%-Lw%?%{r}(%{W}%n*%f%t%?(%u)%?%{r})%{w}%?%+Lw%?%?%= %{g}][%{B}%Y-%m-%d %{W}%c %{g}]'
# Default screens
screen -t shell1 0
screen -t shell2 1
http://www.gnu.org/software/screen/