"Every man for himself, (and the devil take the hindmost)!" "The devil take", not "the devil takes".
As already said, you would normally hear only the first part of the phrase. There are a few other popular sayings where the second part is either implied or even forgotten:
"When in Rome (do as the Romans do)."
"Better to have loved and lost (than never loved at all)."
"When the cat's away (the mice will play)."
"Great minds think alike (and fools seldom differ)."