Possible Clues:

• Giant iguana circles island
• Caribbean island opposed to bird droppings withdrawing objection
• Island in the West Indies
• Caribbean island linked with Barbuda
• Island on which Mount Obama is the highest point
• Island in West Indies
• Father Christmas shedding clothes over one summer month upset part of the WI
• Country's capital hosting conservation group a month back
• The capital in Guiana designed by one of those in the West Indies
• Not for good, but as regularly, arriving at island