give (someone) the air


give (someone) the air
   to dismiss from employment
   The employee may also, if so unfortunate, be given the bag1, the boot, the bullet, the breeze, the sack, notice, warning, the wind2, his running shoes, etc. Also, apart from the bag, the sack, notice, or warning, the phrases may be used of the unilateral ending of courtship.

How not to say what you mean: A dictionary of euphemisms. . 2014.