It does depend n the variety, if you have what is known as the 'Common Honeysuckle' this flowers on the previous summer's growth, so any pruning should be done as soon as the flowers fade, at the same time, remove some of the flowered stems in favour of newly-forming ones.
If you have the evergreen Lonicera. japonica, this flowers on the current season's growth. Clip it back hard with shears in early spring if it is growing against a wall.
Don't forget to feed the plant after pruning, this will encourage new growth, good luck