Judging by the LCY website the airport do not seem confident that Euromanx will start on 10 Jan..... they state on the main page that Flybe operations cease on the 9th and that they are actively seeking a replacement - if Euromanx were likely to start surely the airport would be saying so and offering a reassuring message...
Then again, given that Euromanx is only a ticket provider for Denim Air presumably the real question is will Denim Air start flying on 10 Jan????