Gazey and Entwistle, who played Graeme Proctor and Janice Battersby, will star in award-winning adult comedy Funny Peculiar.
The 29-year-old Gazey will portray green grocer Trevor Tinsley, while 43-year-old Entwistle is set to play Mrs Baldry.
Former Emmerdale actress Suzanne Shaw will also appear in the production as Trevor's devoted wife Irene.
Meanwhile, Gemma Bissix - previously of both Hollyoaks and EastEnders fame - will take on the role of neighbour's wife Shirley.
Bob Tomson's Funny Peculiar is an update on the original classic, which starred Julie Walters, Bill Nighy, Richard Beckinsale and Matthew Kelly.
Stopping at a total of 12 venues, the production will tour the UK from January 24.