Abelia ?

It does not flower.

Still an Abelia.

It's been chopped down, hence no flowers and very short. It's easy from cuttings.

Yup, either it's been chopped or not enough light to flower.

Almost looks like Abelia 'Kaleidoscope'.

If you took this recently it is liable to be too early in the year for flowers from Abelia X grandiflora. At least that would be the case here, where the typical season is July to October or later.

The suggested cultivar has become the dominant variegated one at outlets here. However, usually a large portion of its leaves are green-and-yellow, not just all yellow or solid yellowish green.