FHM magazine model Bonang Matheba hosted the evening and joked she wanted to get the prince dancing.
The famous South African presenter wore a skin-tight white dress and said: "I told him he should loosen up and have some fun - I will show him some South African dances."
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The book by Cameron comms chief Sir Craig Oliver reveals that Mr Cameron was frustrated with Theresa May's neutrality during referendum.
Cloud and outbreaks of rain will ease away eastwards during the morning, clearing the east coast around midday with sunny spells developing.
Police and emergency services are attending the scene.