To act exactly as you are supposed to; behave properly; obey. * /That new teacher really makes the students walk the chalk./ * /In some classes the students play and talk, but Mr. Parker makes them walk the chalk./ * /That theater owner wants his place to be orderly, and if boys and girls don't walk the chalk, he puts them out./ (From the fact that sailors used to be asked to walk a chalk line along the deck of the ship to prove they were not drunk.) Compare: TOE THE MARK.
WALK THE CHALK MARK
Meaning of WALK THE CHALK MARK in English
Dictionary of English idioms . Словарь английских идиом. 2012