Is there a way to move/snap/orient the pivot of the transform gizmos to other components ?

RMB-> pivot mode or the " key. In Snapping turn on Orient on Snap

Thanks. Works as expected.

Though I can't see a pivot mode. Only way I can trigger it is by unchecking the “ättach to geometry” checkbox.

There's no “pivot mode” when in a component mode.
“attach to geometry” is just for viewport interaction only (and an extremely useful one) as it changes the position of the gizmo and therefore it temporarily changes the “pivot” (it's more like a reference system change) around which component (point/edge/poly) transformations will occur.
“pivot mode” is found only at object level.

Currently transformations in Houdini are a bit lacking IMO. Check this thread for more info about the things needed to make Houdini more robust in this area.
https://sidefx.com/forum/topic/42294/ [sidefx.com]

Yeah it seems a bit clunky at present.


Update:

Woot !

Apparently, there is some ‘pivot’ mode that can act on components. Just search for “detach” in the hotkey editor and choose the second option :'Toggle handle geometry detachment' and bind it to a hotkey ( it acts as a toggle )use snapping if needs be and viola instant ‘pivot mode’

I mapped mine to ‘Shift + D’( D for detach )

No more ‘ticking/unticking’ attach to geometry from right click menu.