Posted: 22/04/2017 at 12:02
Those are scale insects, not mealy bugs. They can be rubbed off but that will be a lot of work. The only other thing which will work would be a systemic insecticide like provado, but that will affect all insects and is very bad for bees.
Give the scale ('scuse the pun!) of the problem, I would highly recommend that you cut the honeysuckle back to the ground instead. It will almost certainly sprout fresh shoots and although you will get no flowers this year, you will end up with a much healthier plant.