Just about any vise will hold a tiny hook, the problem is clearance behind and around.
I use a Renzetti Master at home and a Traveler on the road and I tie midges on the old TMC 518's down to 32.
When I need more room behind the hook, I adjust the vice head so it is almost vertical. That helps a LOT although the ability to wind materials rotary goes out the window.
However on hooks that small, it's one to three wraps and you're done.