Cluff dismissed criticism in the United Kingdom media of the British government's support for its overseas territories, where there were no evacuations despite the warnings.
British Foreign Secretary Boris Johnson flew into Barbados this afternoon, and transferred to a military flight directly up to Anguilla.
The premier of the British Virgin Islands, Orlando Smith, also appealed for urgent aid from Britain, saying the situation was critical and calling for a comprehensive package.
He branded Irma "the storm of the century", but also warned about Category 4 Hurricane Jose, which is following in its wake.
Mr Johnson will be viewing the devastation caused by Hurricane Irma and the UK's huge relief effort first hand.
"We were put into lockdown at 8pm Thursday evening when food parcels and water were delivered and we faced the hurricane in our rooms".
The couple explained how they wanted a procedure from Thomas Cook to prepare themselves but hadn't been given much information.
The organisation's lead for global policing, Chief Constable Andy Marsh, said: "We received offers of support from officers across the country as soon as this crisis began".More news: WELLS FARGO: We're seeing slower lending in autos and commercial real estate
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These included Cuba, St Martin and St Barthelemy, St Martin, Turks and Caicos, Barbuda, Anguilla, Puerto Rico, British Virgin Islands and the US Virgin Islands.
Interior Minister Gerard Collomb said the "whole government is mobilized" to help end the pillaging that hit the island in the immediate aftermath of the storm. She was evacuated by the French.
Branson and his company are looking to plant seeds in the recovery effort by tasking his foundation, Virgin Unite, to coordinate aid and supplies in the short term and reconstruction efforts in the months ahead, Branson wrote.
She also urged the Government to create a "long-term plan" for the overseas territories to address threats posed by climate change.
Necker Island is part of the territory. "The entire island is gone more or less, it's hard to even describe".
Hurricane Irma has left a trail of destruction and deaths across the Caribbean and prompted large scale evacuations in the American history.
"There isn't a single leaf on a tree, there's no trees", she added.
Another Royal Navy ship, the HMS Ocean, is set to arrive in the Caribbean within days.
She said there were now 1,000 British soldiers and more than 50 police officers in the Caribbean helping to alleviate "tremendous hardship and suffering". "There is a possibility of a shortage in food supplies", the Agency stated.