Here's a way. It assumes you have the default key bindings.
bind '"\C-m": "\C-l\C-j"'
The \C-m simulatingintercepts the 'Enter' key, the \C-l simulating (Ctrl+lCtrl+L as it's clear) executes the Bash clear-screen function, and the \C-j is "newline-and-indent",executes the Bash newline-and-indent function; so the command is binding Enter key to Ctrl+lCtrl+L & Ctrl+jCtrl+J