Pro Tools lets you enable Snap To Grid while in Shuffle, Slip, or Spot mode. When in any of these modes with Snap To Grid also enabled, placing the Edit cursor and making Edit selections is constrained by the Grid, but any clip editing is also affected by the other selected Edit mode.

For example, in Shuffle mode, with Snap To Grid enabled, you can make a selection in a clip based on the Grid, cut the selection, and any clips to the right of the edit shuffle to the left.