Chloë Grace Moretz Riding a Bike on the Set of 'The Widow'

Actress Chloë Grace Moretz is pulling a full-on Selena Gomez ... she's filming a new movie, riding a bike and back together with her ex.

Moretz was cruising down the street on a bicycle while shooting "The Widow", an upcoming nail-biter directed by Oscar winner Neil Jordan.

We posted pics over the weekend of Moretz and her beau Brooklyn Beckham on date night.

The jury is still out on what we're calling them. Chlooklyn? Brookë? Becktz?