The only chance you have in any kind of layover pay,would only happen,if you were to pick up a load,and the date of pick u p would change,and the customer were willing to pay for you to wait there,but like Broom has said,you have a better chance going out with one of Hugh Heffners models.Its not that it cant happen,it's not likely it will ever happen.Most companies will dry run the load ,and change the pick up time,cheaper than detention,might pay better than a layover.
If layover your talking the time from delivery to the next pick up,lots of luck