Yes I think they take crime very seriously! Since there Island economy is based on tourism, they do not want that type of reputation. Last year my laundry was taken from off my front pourch (my fault for leaving it out!) and just wrote it off as a lesson learned. But when one of the Dive shop/Bar Operators heard about what happened they said I should have reported it right away. They frown very heavily on crimes against tourist. Atleast that's what he told me, and I tend to believe it.
I did find one of my shirts on a 14 year old kid waiting to go to ladies night at Wet Willy's. Needless to say he ran home scared and shirtless!