Possible Clues:

• Ms Andress famously appeared in one explosive scene
• Using two wheels? That's no good on one island
• Two-piece costume
• What holidaymaker may assume is a beach
• Might as well have nothing on atoll
• Skimpy suit
• Brief two-piece swimming costume
• Goin' on two wheels over one island
• Small bathing costume or atoll in Marshall Islands
• Skimpy swimsuit