Prince Harry and Cressida Bonas
Splash News Online
and girlfriend Cressida Bonas
enjoyed a date night out at a burger restaurant Monday – despite rumors they've split.
The couple were spotted at Byron Hamburgers in Kensington.
"They were having a good time," a source at the eatery tells PEOPLE.
Staff at the burger joint would not say what the couple ate, but Harry is apparently a regular visitor at Byron, which is just a short drive from his apartment at Kensington Palace.
A British newspaper report recently claimed that Harry, 29, and Cressida, 24, were heading for a split because they had not been spending much time together since his return from his trek for charity across the ice of Antarctica
But the couple have been seeing each other privately – and quietly – at the country homes of friends.
And over the weekend, Harry, still sporting a scruffy beard
, was at a London nightspot with his cousin Eugenie
. Cressida, a close friend of Eugie (as her friends call her), was also with the royals.