Add keyboard shortcut for "Move Next Clip on Track to Playhead"

No, I didn't catch that. Although there are other keyboard shorts for closing a gap, they will probably likely move the later clips up also.

So this is something I've not heard requested before. I can see in some circumstances it would be of use.

Sorry R Neil, I don't think you read my title. I want it to move only the NEXT clip not all the clips

That is exactly what the W key does and has for some years, "ripple delete".

The Q key does a similar thing at the front of a clip, cutting between playhead and beginning of clip, ripple delete to close the gap.