My husband and I travel to Divi and have done so for the last 10+ years. We are both in software development so travel with computers and tablets.
You must use common sense. We usually get a room on the ground floor and consequently, keep the blinds closed looking into the room when we are not there. We lock everything in the safe when we are not there and have had zero problems with thieves.
I feel very very safe at Divi even late at night. Divi beach is very very safe.