Usually the rule is that the personal item must fit under the seat in front of you, the carry-on may be a bit larger.
I have boarded with a wheeled carry-on + wheeled personal item (a backpack with wheels) in the past, but every time the gate agent tested the personal item for size.
I have boarded with a wheeled carry-on + wheeled personal item (a backpack with wheels) in the past, but every time the gate agent tested the personal item for size.