SantorÃni is relatively crime free: you are quite unlikely to be pickpocketed. On the other hand you may feel you have been ripped off by some restaurant or bar bills. In particular:
Bring sunscreen. A bottle of SPF30 sunscreen will run about 20 Euro, with higher SPF sunscreen costing appropriately more.
While this is obvious, remember not to shop at stores or order at restaurants without posted prices.
Physically the cliffs and low walls guarding large drops pose a danger to children while the elderly may encounter problems with the many steps.Cave exploring can be fun too but it is not recommended to deviate from the paths because of the unstable rocks made of tufa.