While the name was quite vanilla in nature, the new company did come out with a new logo that is quite straightforward as well. As you can see above, CelcomDigi (yes, no space in the middle) essentially retained the fonts that Celcom and Digi used for their logo in order to create a new visual identity.
In fact, the operation of these outlets is still not yet unified. In other words, Blue Cube outlets are not able to serve Digi customers and Celcom customers will not get anything done if they visit a Digi Store right now.