Tioman is a duty free zone and offers a good selection of alcohol and cigarettes at very cheap prices. The main outlet is "vision duty free" past the hospital and school and at the airport. Other villages such as Paya and Salang have small outlets.
However, do note that in case you intend to purchase alcohol or cigarettes and carry them into neighbouring Singapore, then you would need to pay duty on these goods and hence the cost advantage vanishes. Refer to Singapore customs website on duty free allowances; the Singapore authorities can be pretty strict, always declare tobacco and alcohol to Singapore customs officials and be prepared to pay high duty or dispose of the items.
ATM is available at Tekek. From the wharf go left, the bank with the attached ATM is on the left of the road about 250 metres on. The ATM is a 10-second walk from the airport.