Yes, it will function still with both Clarity PPM Classic and New UX.
To launch a project to MSP from the New UX:
- Go to the Tasks tab of the project in the New UX.
- Click on the 3 dot bar on the right hand side and then you can select either Microsoft Project Read-Write or Microsoft Project Read Only
See the following KB
KB000093573 - Getting Started with the MSP New Driver with Clarity PPM for tips on upgrading, especially if migrating from the legacy driver to the new driver.