While this may sound extremely tempting to do, especially if you have a small skin tag that you can get rid of easily; you should avoid cutting off your skin tags to prevent serious infections that it can lead to. If your healthcare professional approves of the cutting, sure you may do it but make sure to cleanse the tool really well that you're going to use.
We live in a world of instant gratification nowadays, and cutting off skin tags does deliver it. Please keep in mind that this process can be extremely painful and can cause bleeding as well. If you happen to be on blood thinners or have any kind of blood disorder, you should really stay away from clipping your skin tags. Also if you're planning on cutting off skin tags around sensitive areas such as eyes, genitals etc, you should keep that scalpel down right now.
According to American Academy of Dermatology, removing skin tags or moles at home can be really dangerous because you might end up cutting a blood vessel. Not only this can lead to severe bleeding but can also cause spread the infection deeper.
When it comes to getting rid of skin tags, you should always stick to professional treatment options only such as: