@JeremyECrawford Could a 9th level monk grapple an enemy, and then use unarmored movement to move that enemy up a wall? Perhaps dropping it?
— James Burling (@jtburling) June 27, 2016
The rule on moving a grappled creature (PH, 195) works with movement of any sort. #DnD https://t.co/Wmx6bLBpHK
— Jeremy Crawford (@JeremyECrawford) July 21, 2016
If the monk moves up the wall, with a restrained opponent, wouldn’t the monk need enough strength to lift its weight?
Whether they’re restrained or grappled, the weight matters. It’s pushing or pulling when moving a grappelled or restrained opponent. You can find the relevant rules under the strength section of ability scores in the PHB.