Thanks for your question. Unfortunately I really don’t understand what you asking.  What do you mean by “critical cutting period”. Please clarify. Many thanks. 

Thank you for your question and your clarification of a possible treatment.

Initially you need to determine whether the honeysuckle with which you are dealing is invasive or noninvasive. If you could send us a picture to examine, we could provide an answer. Alternately, here is a site through which you might determine the type of honeysuckle you have:

https://www.dnr.state.mn.us/invasives/terrestrialplants/woody/bush-honeysuckles.html

In providing you an answer to your question, I will assume that you will be dealing with one of the four species of honeysuckle mentioned in the previous site. With respect to critical cutting, the only existing evidence deals with its effectiveness on buckthorn. I could not find any studies in which this technique has been used with honeysuckle. If you want to try this technique for honeysuckle, just follow the same directions as specified for buckthorn.

Removal of honeysuckle may require a combination of several methods. The following are documented procedures for the removal of honeysuckle.

1). For small infestations, hand pulling can be effective. Wearing gloves, pull the plants out by the roots. Try to get as much of the root system as possible to prevent regrowth.

2). For larger infestations, cutting the honeysuckle down to the ground and then digging out the roots can be effective. Use loppers or a saw to cut the plants as close to the ground as possible, and then dig out the roots. This may need to be repeated several times over a few years to completely eradicate the honeysuckle.

3). Herbicides can be effective in killing honeysuckle but be cautious as they can harm other plants as well. Glyphosate-based or triclopyr-based herbicides are commonly used for honeysuckle control. Follow the instructions on the label carefully and apply the herbicide directly to the honeysuckle foliage. If you have previously cut the main stem, apply the herbicide directly to the cut stem protruding from the ground. Take care not to apply when rain is expected, as it can wash the herbicide away. Here is some more information about the use of herbicides:

https://ohioline.osu.edu/factsheet/F-68

https://roundup.com/en-us/specific-weeds/what-is-honeysuckle-and-how-do-i-control-it.html

i4). Girdling involves cutting a ring around the stem of the honeysuckle, which interrupts the flow of nutrients and kills the plant. This can be done using a saw or axe. It's best to do this in late summer or early fall when the plant is actively transporting nutrients.

5). Regularly mowing or trimming the honeysuckle can weaken it over time. This method is best used in conjunction with other methods, as it may not completely eradicate the honeysuckle on its own.

Good luck. Please get back if you have any further questions.