This comes in really handy in ~/.screenrc:
shelltitle '$ |bash'
Then add this in ~/.bashrc:
export PROMPT_COMMAND='[ "$TERM" == "screen" ] && echo -n -e "\033k\033\\"'
Restart screen in a fresh bash session and enjoy.
UPDATE: I stupidly screwed up the screenrc line because I did it from memory instead of copypasta. No cookie for me!
UPDATE #2: Aha, found that something in the innards of my blog software was removing an extra backslash that was needed in the export command above. Sorry for the mess.